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Finding the Fourth Proportional to 102,905.20, 154,357.80 and 29,033.20

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Solution

The fourth proportional to 102,905.20, 154,357.80 and 29,033.20 is: 43,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,905.20 : 154,357.80 = 29,033.20 : x
  2. Step 2: Convert to fraction form
    102,905.20/154,357.80 = 29,033.20/x
  3. Step 3: Cross multiply
    102,905.20x = 154,357.80 × 29,033.20
  4. Step 4: Simplify right side
    102,905.20x = 4,481,500,878.96
  5. Step 5: Solve for x
    x = 4,481,500,878.96/102,905.20
  6. Step 6: Final answer
    x = 43,549.80

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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.