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Finding the Fourth Proportional to 181,226, 250,091.88 and 101,738

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Solution

The fourth proportional to 181,226, 250,091.88 and 101,738 is: 140,398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,226 : 250,091.88 = 101,738 : x
  2. Step 2: Convert to fraction form
    181,226/250,091.88 = 101,738/x
  3. Step 3: Cross multiply
    181,226x = 250,091.88 × 101,738
  4. Step 4: Simplify right side
    181,226x = 25,443,847,687.44
  5. Step 5: Solve for x
    x = 25,443,847,687.44/181,226
  6. Step 6: Final answer
    x = 140,398.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.