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Finding the Fourth Proportional to 268,171.90, 402,251.60 and 135,016.40

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Solution

The fourth proportional to 268,171.90, 402,251.60 and 135,016.40 is: 202,521.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,171.90 : 402,251.60 = 135,016.40 : x
  2. Step 2: Convert to fraction form
    268,171.90/402,251.60 = 135,016.40/x
  3. Step 3: Cross multiply
    268,171.90x = 402,251.60 × 135,016.40
  4. Step 4: Simplify right side
    268,171.90x = 54,310,564,269.41
  5. Step 5: Solve for x
    x = 54,310,564,269.41/268,171.90
  6. Step 6: Final answer
    x = 202,521.46

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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.