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Finding the Fourth Proportional to 159,344.96, 238,965.59 and 52,708.86

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Solution

The fourth proportional to 159,344.96, 238,965.59 and 52,708.86 is: 79,046.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,344.96 : 238,965.59 = 52,708.86 : x
  2. Step 2: Convert to fraction form
    159,344.96/238,965.59 = 52,708.86/x
  3. Step 3: Cross multiply
    159,344.96x = 238,965.59 × 52,708.86
  4. Step 4: Simplify right side
    159,344.96x = 12,595,603,959.90
  5. Step 5: Solve for x
    x = 12,595,603,959.90/159,344.96
  6. Step 6: Final answer
    x = 79,046.14

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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.