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Finding the Fourth Proportional to 159,197.52, 238,848.12 and 76,098

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Solution

The fourth proportional to 159,197.52, 238,848.12 and 76,098 is: 114,171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,197.52 : 238,848.12 = 76,098 : x
  2. Step 2: Convert to fraction form
    159,197.52/238,848.12 = 76,098/x
  3. Step 3: Cross multiply
    159,197.52x = 238,848.12 × 76,098
  4. Step 4: Simplify right side
    159,197.52x = 18,175,864,235.76
  5. Step 5: Solve for x
    x = 18,175,864,235.76/159,197.52
  6. Step 6: Final answer
    x = 114,171.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.