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Finding the Fourth Proportional to 181,347.24, 271,743.72 and 76,108.80

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Solution

The fourth proportional to 181,347.24, 271,743.72 and 76,108.80 is: 114,046.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,347.24 : 271,743.72 = 76,108.80 : x
  2. Step 2: Convert to fraction form
    181,347.24/271,743.72 = 76,108.80/x
  3. Step 3: Cross multiply
    181,347.24x = 271,743.72 × 76,108.80
  4. Step 4: Simplify right side
    181,347.24x = 20,682,088,436.74
  5. Step 5: Solve for x
    x = 20,682,088,436.74/181,347.24
  6. Step 6: Final answer
    x = 114,046.89

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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.