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Finding the Fourth Proportional to 159,494.27, 239,278.44 and 54,314.15

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Solution

The fourth proportional to 159,494.27, 239,278.44 and 54,314.15 is: 81,483.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,494.27 : 239,278.44 = 54,314.15 : x
  2. Step 2: Convert to fraction form
    159,494.27/239,278.44 = 54,314.15/x
  3. Step 3: Cross multiply
    159,494.27x = 239,278.44 × 54,314.15
  4. Step 4: Simplify right side
    159,494.27x = 12,996,205,081.93
  5. Step 5: Solve for x
    x = 12,996,205,081.93/159,494.27
  6. Step 6: Final answer
    x = 81,483.84

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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.