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Finding the Fourth Proportional to 181,263, 271,952.28 and 76,053.72

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Solution

The fourth proportional to 181,263, 271,952.28 and 76,053.72 is: 114,104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,263 : 271,952.28 = 76,053.72 : x
  2. Step 2: Convert to fraction form
    181,263/271,952.28 = 76,053.72/x
  3. Step 3: Cross multiply
    181,263x = 271,952.28 × 76,053.72
  4. Step 4: Simplify right side
    181,263x = 20,682,982,556.48
  5. Step 5: Solve for x
    x = 20,682,982,556.48/181,263
  6. Step 6: Final answer
    x = 114,104.82

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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.