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Finding the Fourth Proportional to 221,152.50, 331,728.66 and 71,414.82

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Solution

The fourth proportional to 221,152.50, 331,728.66 and 71,414.82 is: 107,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,152.50 : 331,728.66 = 71,414.82 : x
  2. Step 2: Convert to fraction form
    221,152.50/331,728.66 = 71,414.82/x
  3. Step 3: Cross multiply
    221,152.50x = 331,728.66 × 71,414.82
  4. Step 4: Simplify right side
    221,152.50x = 23,690,342,542.74
  5. Step 5: Solve for x
    x = 23,690,342,542.74/221,152.50
  6. Step 6: Final answer
    x = 107,122.20

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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.