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Finding the Fourth Proportional to 151,838.92, 209,488.98 and 84,757.96

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Solution

The fourth proportional to 151,838.92, 209,488.98 and 84,757.96 is: 116,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,838.92 : 209,488.98 = 84,757.96 : x
  2. Step 2: Convert to fraction form
    151,838.92/209,488.98 = 84,757.96/x
  3. Step 3: Cross multiply
    151,838.92x = 209,488.98 × 84,757.96
  4. Step 4: Simplify right side
    151,838.92x = 17,755,858,587.28
  5. Step 5: Solve for x
    x = 17,755,858,587.28/151,838.92
  6. Step 6: Final answer
    x = 116,938.78

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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.