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Finding the Fourth Proportional to 181,491.28, 272,236.92 and 56,842

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Solution

The fourth proportional to 181,491.28, 272,236.92 and 56,842 is: 85,263

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,491.28 : 272,236.92 = 56,842 : x
  2. Step 2: Convert to fraction form
    181,491.28/272,236.92 = 56,842/x
  3. Step 3: Cross multiply
    181,491.28x = 272,236.92 × 56,842
  4. Step 4: Simplify right side
    181,491.28x = 15,474,491,006.64
  5. Step 5: Solve for x
    x = 15,474,491,006.64/181,491.28
  6. Step 6: Final answer
    x = 85,263

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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.