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Finding the Fourth Proportional to 169,711.69, 234,194.56 and 101,766.16

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Solution

The fourth proportional to 169,711.69, 234,194.56 and 101,766.16 is: 140,432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,711.69 : 234,194.56 = 101,766.16 : x
  2. Step 2: Convert to fraction form
    169,711.69/234,194.56 = 101,766.16/x
  3. Step 3: Cross multiply
    169,711.69x = 234,194.56 × 101,766.16
  4. Step 4: Simplify right side
    169,711.69x = 23,833,079,384.29
  5. Step 5: Solve for x
    x = 23,833,079,384.29/169,711.69
  6. Step 6: Final answer
    x = 140,432.75

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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.