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Finding the Fourth Proportional to 267,206.72, 400,829.54 and 89,712.24

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Solution

The fourth proportional to 267,206.72, 400,829.54 and 89,712.24 is: 134,574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,206.72 : 400,829.54 = 89,712.24 : x
  2. Step 2: Convert to fraction form
    267,206.72/400,829.54 = 89,712.24/x
  3. Step 3: Cross multiply
    267,206.72x = 400,829.54 × 89,712.24
  4. Step 4: Simplify right side
    267,206.72x = 35,959,315,891.57
  5. Step 5: Solve for x
    x = 35,959,315,891.57/267,206.72
  6. Step 6: Final answer
    x = 134,574.89

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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.