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Finding the Fourth Proportional to 267,002.42, 400,441.33 and 77,411.91

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Solution

The fourth proportional to 267,002.42, 400,441.33 and 77,411.91 is: 116,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,002.42 : 400,441.33 = 77,411.91 : x
  2. Step 2: Convert to fraction form
    267,002.42/400,441.33 = 77,411.91/x
  3. Step 3: Cross multiply
    267,002.42x = 400,441.33 × 77,411.91
  4. Step 4: Simplify right side
    267,002.42x = 30,998,926,196.03
  5. Step 5: Solve for x
    x = 30,998,926,196.03/267,002.42
  6. Step 6: Final answer
    x = 116,099.79

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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.