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Finding the Fourth Proportional to 125,824.92, 188,854.02 and 63,539.16

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Solution

The fourth proportional to 125,824.92, 188,854.02 and 63,539.16 is: 95,367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,824.92 : 188,854.02 = 63,539.16 : x
  2. Step 2: Convert to fraction form
    125,824.92/188,854.02 = 63,539.16/x
  3. Step 3: Cross multiply
    125,824.92x = 188,854.02 × 63,539.16
  4. Step 4: Simplify right side
    125,824.92x = 11,999,625,793.42
  5. Step 5: Solve for x
    x = 11,999,625,793.42/125,824.92
  6. Step 6: Final answer
    x = 95,367.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.