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Finding the Fourth Proportional to 125,654.30, 188,478.84 and 41,419.52

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Solution

The fourth proportional to 125,654.30, 188,478.84 and 41,419.52 is: 62,128.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,654.30 : 188,478.84 = 41,419.52 : x
  2. Step 2: Convert to fraction form
    125,654.30/188,478.84 = 41,419.52/x
  3. Step 3: Cross multiply
    125,654.30x = 188,478.84 × 41,419.52
  4. Step 4: Simplify right side
    125,654.30x = 7,806,703,082.96
  5. Step 5: Solve for x
    x = 7,806,703,082.96/125,654.30
  6. Step 6: Final answer
    x = 62,128.42

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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.