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Finding the Fourth Proportional to 125,906.96, 188,795.28 and 37,149.20

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Solution

The fourth proportional to 125,906.96, 188,795.28 and 37,149.20 is: 55,704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,906.96 : 188,795.28 = 37,149.20 : x
  2. Step 2: Convert to fraction form
    125,906.96/188,795.28 = 37,149.20/x
  3. Step 3: Cross multiply
    125,906.96x = 188,795.28 × 37,149.20
  4. Step 4: Simplify right side
    125,906.96x = 7,013,593,615.78
  5. Step 5: Solve for x
    x = 7,013,593,615.78/125,906.96
  6. Step 6: Final answer
    x = 55,704.57

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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.