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Finding the Fourth Proportional to 164,429.80, 246,644.70 and 75,856.30

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Solution

The fourth proportional to 164,429.80, 246,644.70 and 75,856.30 is: 113,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,429.80 : 246,644.70 = 75,856.30 : x
  2. Step 2: Convert to fraction form
    164,429.80/246,644.70 = 75,856.30/x
  3. Step 3: Cross multiply
    164,429.80x = 246,644.70 × 75,856.30
  4. Step 4: Simplify right side
    164,429.80x = 18,709,554,356.61
  5. Step 5: Solve for x
    x = 18,709,554,356.61/164,429.80
  6. Step 6: Final answer
    x = 113,784.45

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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.