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Finding the Fourth Proportional to 102,057.47, 140,839.31 and 59,616.30

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Solution

The fourth proportional to 102,057.47, 140,839.31 and 59,616.30 is: 82,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,057.47 : 140,839.31 = 59,616.30 : x
  2. Step 2: Convert to fraction form
    102,057.47/140,839.31 = 59,616.30/x
  3. Step 3: Cross multiply
    102,057.47x = 140,839.31 × 59,616.30
  4. Step 4: Simplify right side
    102,057.47x = 8,396,318,898.60
  5. Step 5: Solve for x
    x = 8,396,318,898.60/102,057.47
  6. Step 6: Final answer
    x = 82,270.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.