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Finding the Fourth Proportional to 159,508.74, 239,286.74 and 51,401.87

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Solution

The fourth proportional to 159,508.74, 239,286.74 and 51,401.87 is: 77,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,508.74 : 239,286.74 = 51,401.87 : x
  2. Step 2: Convert to fraction form
    159,508.74/239,286.74 = 51,401.87/x
  3. Step 3: Cross multiply
    159,508.74x = 239,286.74 × 51,401.87
  4. Step 4: Simplify right side
    159,508.74x = 12,299,785,902.20
  5. Step 5: Solve for x
    x = 12,299,785,902.20/159,508.74
  6. Step 6: Final answer
    x = 77,110.42

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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.