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Finding the Fourth Proportional to 267,814.54, 401,711.28 and 90,317.62

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Solution

The fourth proportional to 267,814.54, 401,711.28 and 90,317.62 is: 135,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,814.54 : 401,711.28 = 90,317.62 : x
  2. Step 2: Convert to fraction form
    267,814.54/401,711.28 = 90,317.62/x
  3. Step 3: Cross multiply
    267,814.54x = 401,711.28 × 90,317.62
  4. Step 4: Simplify right side
    267,814.54x = 36,281,606,736.75
  5. Step 5: Solve for x
    x = 36,281,606,736.75/267,814.54
  6. Step 6: Final answer
    x = 135,472.88

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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.