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Finding the Fourth Proportional to 83,008.80, 124,513.20 and 77,431.95

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Solution

The fourth proportional to 83,008.80, 124,513.20 and 77,431.95 is: 116,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,008.80 : 124,513.20 = 77,431.95 : x
  2. Step 2: Convert to fraction form
    83,008.80/124,513.20 = 77,431.95/x
  3. Step 3: Cross multiply
    83,008.80x = 124,513.20 × 77,431.95
  4. Step 4: Simplify right side
    83,008.80x = 9,641,299,876.74
  5. Step 5: Solve for x
    x = 9,641,299,876.74/83,008.80
  6. Step 6: Final answer
    x = 116,147.93

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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.