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Finding the Fourth Proportional to 181,496.28, 272,244.42 and 56,847

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Solution

The fourth proportional to 181,496.28, 272,244.42 and 56,847 is: 85,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,496.28 : 272,244.42 = 56,847 : x
  2. Step 2: Convert to fraction form
    181,496.28/272,244.42 = 56,847/x
  3. Step 3: Cross multiply
    181,496.28x = 272,244.42 × 56,847
  4. Step 4: Simplify right side
    181,496.28x = 15,476,278,543.74
  5. Step 5: Solve for x
    x = 15,476,278,543.74/181,496.28
  6. Step 6: Final answer
    x = 85,270.50

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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.