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Finding the Fourth Proportional to 265,148.92, 397,723.38 and 75,613.24

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Solution

The fourth proportional to 265,148.92, 397,723.38 and 75,613.24 is: 113,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,148.92 : 397,723.38 = 75,613.24 : x
  2. Step 2: Convert to fraction form
    265,148.92/397,723.38 = 75,613.24/x
  3. Step 3: Cross multiply
    265,148.92x = 397,723.38 × 75,613.24
  4. Step 4: Simplify right side
    265,148.92x = 30,073,153,385.55
  5. Step 5: Solve for x
    x = 30,073,153,385.55/265,148.92
  6. Step 6: Final answer
    x = 113,419.86

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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.