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Finding the Fourth Proportional to 123,084.52, 169,829.22 and 75,334.12

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Solution

The fourth proportional to 123,084.52, 169,829.22 and 75,334.12 is: 103,944.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,084.52 : 169,829.22 = 75,334.12 : x
  2. Step 2: Convert to fraction form
    123,084.52/169,829.22 = 75,334.12/x
  3. Step 3: Cross multiply
    123,084.52x = 169,829.22 × 75,334.12
  4. Step 4: Simplify right side
    123,084.52x = 12,793,934,838.99
  5. Step 5: Solve for x
    x = 12,793,934,838.99/123,084.52
  6. Step 6: Final answer
    x = 103,944.30

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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.