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Finding the Fourth Proportional to 152,092.64, 209,884.20 and 88,452.56

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Solution

The fourth proportional to 152,092.64, 209,884.20 and 88,452.56 is: 122,062.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,092.64 : 209,884.20 = 88,452.56 : x
  2. Step 2: Convert to fraction form
    152,092.64/209,884.20 = 88,452.56/x
  3. Step 3: Cross multiply
    152,092.64x = 209,884.20 × 88,452.56
  4. Step 4: Simplify right side
    152,092.64x = 18,564,794,793.55
  5. Step 5: Solve for x
    x = 18,564,794,793.55/152,092.64
  6. Step 6: Final answer
    x = 122,062.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.