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Finding the Fourth Proportional to 159,188.22, 238,731.63 and 52,552.38

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Solution

The fourth proportional to 159,188.22, 238,731.63 and 52,552.38 is: 78,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,188.22 : 238,731.63 = 52,552.38 : x
  2. Step 2: Convert to fraction form
    159,188.22/238,731.63 = 52,552.38/x
  3. Step 3: Cross multiply
    159,188.22x = 238,731.63 × 52,552.38
  4. Step 4: Simplify right side
    159,188.22x = 12,545,915,337.78
  5. Step 5: Solve for x
    x = 12,545,915,337.78/159,188.22
  6. Step 6: Final answer
    x = 78,811.83

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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.