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Finding the Fourth Proportional to 102,092.28, 140,887.80 and 59,641.80

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Solution

The fourth proportional to 102,092.28, 140,887.80 and 59,641.80 is: 82,305.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,092.28 : 140,887.80 = 59,641.80 : x
  2. Step 2: Convert to fraction form
    102,092.28/140,887.80 = 59,641.80/x
  3. Step 3: Cross multiply
    102,092.28x = 140,887.80 × 59,641.80
  4. Step 4: Simplify right side
    102,092.28x = 8,402,801,990.04
  5. Step 5: Solve for x
    x = 8,402,801,990.04/102,092.28
  6. Step 6: Final answer
    x = 82,305.95

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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.