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Finding the Fourth Proportional to 159,551.64, 239,355.92 and 52,942

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Solution

The fourth proportional to 159,551.64, 239,355.92 and 52,942 is: 79,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,551.64 : 239,355.92 = 52,942 : x
  2. Step 2: Convert to fraction form
    159,551.64/239,355.92 = 52,942/x
  3. Step 3: Cross multiply
    159,551.64x = 239,355.92 × 52,942
  4. Step 4: Simplify right side
    159,551.64x = 12,671,981,116.64
  5. Step 5: Solve for x
    x = 12,671,981,116.64/159,551.64
  6. Step 6: Final answer
    x = 79,422.44

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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.