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Finding the Fourth Proportional to 267,564, 401,371.92 and 90,115.68

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Solution

The fourth proportional to 267,564, 401,371.92 and 90,115.68 is: 135,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,564 : 401,371.92 = 90,115.68 : x
  2. Step 2: Convert to fraction form
    267,564/401,371.92 = 90,115.68/x
  3. Step 3: Cross multiply
    267,564x = 401,371.92 × 90,115.68
  4. Step 4: Simplify right side
    267,564x = 36,169,903,503.71
  5. Step 5: Solve for x
    x = 36,169,903,503.71/267,564
  6. Step 6: Final answer
    x = 135,182.25

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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.