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Finding the Fourth Proportional to 275,785.10, 413,294.92 and 125,658.50

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Solution

The fourth proportional to 275,785.10, 413,294.92 and 125,658.50 is: 188,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,785.10 : 413,294.92 = 125,658.50 : x
  2. Step 2: Convert to fraction form
    275,785.10/413,294.92 = 125,658.50/x
  3. Step 3: Cross multiply
    275,785.10x = 413,294.92 × 125,658.50
  4. Step 4: Simplify right side
    275,785.10x = 51,934,019,704.82
  5. Step 5: Solve for x
    x = 51,934,019,704.82/275,785.10
  6. Step 6: Final answer
    x = 188,313.36

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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.