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Finding the Fourth Proportional to 151,757.32, 209,414.35 and 83,763.38

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Solution

The fourth proportional to 151,757.32, 209,414.35 and 83,763.38 is: 115,587.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,757.32 : 209,414.35 = 83,763.38 : x
  2. Step 2: Convert to fraction form
    151,757.32/209,414.35 = 83,763.38/x
  3. Step 3: Cross multiply
    151,757.32x = 209,414.35 × 83,763.38
  4. Step 4: Simplify right side
    151,757.32x = 17,541,253,357.69
  5. Step 5: Solve for x
    x = 17,541,253,357.69/151,757.32
  6. Step 6: Final answer
    x = 115,587.53

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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.