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Finding the Fourth Proportional to 158,897.76, 238,375.92 and 52,287.68

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Solution

The fourth proportional to 158,897.76, 238,375.92 and 52,287.68 is: 78,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,897.76 : 238,375.92 = 52,287.68 : x
  2. Step 2: Convert to fraction form
    158,897.76/238,375.92 = 52,287.68/x
  3. Step 3: Cross multiply
    158,897.76x = 238,375.92 × 52,287.68
  4. Step 4: Simplify right side
    158,897.76x = 12,464,123,824.67
  5. Step 5: Solve for x
    x = 12,464,123,824.67/158,897.76
  6. Step 6: Final answer
    x = 78,441.16

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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.