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Finding the Fourth Proportional to 254,638.54, 381,948.09 and 86,171.50

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Solution

The fourth proportional to 254,638.54, 381,948.09 and 86,171.50 is: 129,253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,638.54 : 381,948.09 = 86,171.50 : x
  2. Step 2: Convert to fraction form
    254,638.54/381,948.09 = 86,171.50/x
  3. Step 3: Cross multiply
    254,638.54x = 381,948.09 × 86,171.50
  4. Step 4: Simplify right side
    254,638.54x = 32,913,039,837.44
  5. Step 5: Solve for x
    x = 32,913,039,837.44/254,638.54
  6. Step 6: Final answer
    x = 129,253.96

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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.