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Finding the Fourth Proportional to 125,827.92, 188,858.52 and 63,542.16

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Solution

The fourth proportional to 125,827.92, 188,858.52 and 63,542.16 is: 95,372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,827.92 : 188,858.52 = 63,542.16 : x
  2. Step 2: Convert to fraction form
    125,827.92/188,858.52 = 63,542.16/x
  3. Step 3: Cross multiply
    125,827.92x = 188,858.52 × 63,542.16
  4. Step 4: Simplify right side
    125,827.92x = 12,000,478,295.20
  5. Step 5: Solve for x
    x = 12,000,478,295.20/125,827.92
  6. Step 6: Final answer
    x = 95,372.14

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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.