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Finding the Fourth Proportional to 238,294.71, 329,139.86 and 178,134

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Solution

The fourth proportional to 238,294.71, 329,139.86 and 178,134 is: 246,044.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,294.71 : 329,139.86 = 178,134 : x
  2. Step 2: Convert to fraction form
    238,294.71/329,139.86 = 178,134/x
  3. Step 3: Cross multiply
    238,294.71x = 329,139.86 × 178,134
  4. Step 4: Simplify right side
    238,294.71x = 58,630,998,930.57
  5. Step 5: Solve for x
    x = 58,630,998,930.57/238,294.71
  6. Step 6: Final answer
    x = 246,044.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.