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Finding the Fourth Proportional to 125,403.31, 188,101.32 and 36,658.90

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Solution

The fourth proportional to 125,403.31, 188,101.32 and 36,658.90 is: 54,987.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,403.31 : 188,101.32 = 36,658.90 : x
  2. Step 2: Convert to fraction form
    125,403.31/188,101.32 = 36,658.90/x
  3. Step 3: Cross multiply
    125,403.31x = 188,101.32 × 36,658.90
  4. Step 4: Simplify right side
    125,403.31x = 6,895,587,479.75
  5. Step 5: Solve for x
    x = 6,895,587,479.75/125,403.31
  6. Step 6: Final answer
    x = 54,987.28

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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.