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Finding the Fourth Proportional to 267,336.28, 401,024.10 and 89,842

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Solution

The fourth proportional to 267,336.28, 401,024.10 and 89,842 is: 134,769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,336.28 : 401,024.10 = 89,842 : x
  2. Step 2: Convert to fraction form
    267,336.28/401,024.10 = 89,842/x
  3. Step 3: Cross multiply
    267,336.28x = 401,024.10 × 89,842
  4. Step 4: Simplify right side
    267,336.28x = 36,028,807,192.20
  5. Step 5: Solve for x
    x = 36,028,807,192.20/267,336.28
  6. Step 6: Final answer
    x = 134,769.61

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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.