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Finding the Fourth Proportional to 113,150.30, 169,747.32 and 38,282.64

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Solution

The fourth proportional to 113,150.30, 169,747.32 and 38,282.64 is: 57,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,150.30 : 169,747.32 = 38,282.64 : x
  2. Step 2: Convert to fraction form
    113,150.30/169,747.32 = 38,282.64/x
  3. Step 3: Cross multiply
    113,150.30x = 169,747.32 × 38,282.64
  4. Step 4: Simplify right side
    113,150.30x = 6,498,375,542.52
  5. Step 5: Solve for x
    x = 6,498,375,542.52/113,150.30
  6. Step 6: Final answer
    x = 57,431.36

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1.5x scale

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.