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Finding the Fourth Proportional to 221,565.62, 332,345.82 and 150,311.72

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Solution

The fourth proportional to 221,565.62, 332,345.82 and 150,311.72 is: 225,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,565.62 : 332,345.82 = 150,311.72 : x
  2. Step 2: Convert to fraction form
    221,565.62/332,345.82 = 150,311.72/x
  3. Step 3: Cross multiply
    221,565.62x = 332,345.82 × 150,311.72
  4. Step 4: Simplify right side
    221,565.62x = 49,955,471,839.01
  5. Step 5: Solve for x
    x = 49,955,471,839.01/221,565.62
  6. Step 6: Final answer
    x = 225,465.81

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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.