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Finding the Fourth Proportional to 150,463.62, 225,698.67 and 71,585.82

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Solution

The fourth proportional to 150,463.62, 225,698.67 and 71,585.82 is: 107,380.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,463.62 : 225,698.67 = 71,585.82 : x
  2. Step 2: Convert to fraction form
    150,463.62/225,698.67 = 71,585.82/x
  3. Step 3: Cross multiply
    150,463.62x = 225,698.67 × 71,585.82
  4. Step 4: Simplify right side
    150,463.62x = 16,156,824,364.86
  5. Step 5: Solve for x
    x = 16,156,824,364.86/150,463.62
  6. Step 6: Final answer
    x = 107,380.27

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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.