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Finding the Fourth Proportional to 125,825.92, 188,855.52 and 63,540.16

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Solution

The fourth proportional to 125,825.92, 188,855.52 and 63,540.16 is: 95,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,825.92 : 188,855.52 = 63,540.16 : x
  2. Step 2: Convert to fraction form
    125,825.92/188,855.52 = 63,540.16/x
  3. Step 3: Cross multiply
    125,825.92x = 188,855.52 × 63,540.16
  4. Step 4: Simplify right side
    125,825.92x = 11,999,909,957.68
  5. Step 5: Solve for x
    x = 11,999,909,957.68/125,825.92
  6. Step 6: Final answer
    x = 95,369.14

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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.