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Finding the Fourth Proportional to 267,141.72, 400,620.32 and 77,550.68

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Solution

The fourth proportional to 267,141.72, 400,620.32 and 77,550.68 is: 116,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,141.72 : 400,620.32 = 77,550.68 : x
  2. Step 2: Convert to fraction form
    267,141.72/400,620.32 = 77,550.68/x
  3. Step 3: Cross multiply
    267,141.72x = 400,620.32 × 77,550.68
  4. Step 4: Simplify right side
    267,141.72x = 31,068,378,237.82
  5. Step 5: Solve for x
    x = 31,068,378,237.82/267,141.72
  6. Step 6: Final answer
    x = 116,299.24

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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.