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Finding the Fourth Proportional to 164,482,878.80, 246,724,318.20 and 138,654,846.20

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Solution

The fourth proportional to 164,482,878.80, 246,724,318.20 and 138,654,846.20 is: 207,982,269.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,482,878.80 : 246,724,318.20 = 138,654,846.20 : x
  2. Step 2: Convert to fraction form
    164,482,878.80/246,724,318.20 = 138,654,846.20/x
  3. Step 3: Cross multiply
    164,482,878.80x = 246,724,318.20 × 138,654,846.20
  4. Step 4: Simplify right side
    164,482,878.80x = 34,209,522,393,820,856
  5. Step 5: Solve for x
    x = 34,209,522,393,820,856/164,482,878.80
  6. Step 6: Final answer
    x = 207,982,269.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.