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Finding the Fourth Proportional to 122,307.38, 168,784.49 and 71,355.14

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Solution

The fourth proportional to 122,307.38, 168,784.49 and 71,355.14 is: 98,470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,307.38 : 168,784.49 = 71,355.14 : x
  2. Step 2: Convert to fraction form
    122,307.38/168,784.49 = 71,355.14/x
  3. Step 3: Cross multiply
    122,307.38x = 168,784.49 × 71,355.14
  4. Step 4: Simplify right side
    122,307.38x = 12,043,639,713.08
  5. Step 5: Solve for x
    x = 12,043,639,713.08/122,307.38
  6. Step 6: Final answer
    x = 98,470.27

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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.