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Finding the Fourth Proportional to 267,343.28, 401,034.60 and 89,849

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Solution

The fourth proportional to 267,343.28, 401,034.60 and 89,849 is: 134,780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,343.28 : 401,034.60 = 89,849 : x
  2. Step 2: Convert to fraction form
    267,343.28/401,034.60 = 89,849/x
  3. Step 3: Cross multiply
    267,343.28x = 401,034.60 × 89,849
  4. Step 4: Simplify right side
    267,343.28x = 36,032,557,775.40
  5. Step 5: Solve for x
    x = 36,032,557,775.40/267,343.28
  6. Step 6: Final answer
    x = 134,780.11

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Why These Related Problems?

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