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Finding the Fourth Proportional to 181,257.50, 271,944.03 and 76,048.22

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Solution

The fourth proportional to 181,257.50, 271,944.03 and 76,048.22 is: 114,096.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,257.50 : 271,944.03 = 76,048.22 : x
  2. Step 2: Convert to fraction form
    181,257.50/271,944.03 = 76,048.22/x
  3. Step 3: Cross multiply
    181,257.50x = 271,944.03 × 76,048.22
  4. Step 4: Simplify right side
    181,257.50x = 20,680,859,421.13
  5. Step 5: Solve for x
    x = 20,680,859,421.13/181,257.50
  6. Step 6: Final answer
    x = 114,096.57

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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.