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Finding the Fourth Proportional to 180,899.76, 271,324.49 and 126,700.28

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Solution

The fourth proportional to 180,899.76, 271,324.49 and 126,700.28 is: 190,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,899.76 : 271,324.49 = 126,700.28 : x
  2. Step 2: Convert to fraction form
    180,899.76/271,324.49 = 126,700.28/x
  3. Step 3: Cross multiply
    180,899.76x = 271,324.49 × 126,700.28
  4. Step 4: Simplify right side
    180,899.76x = 34,376,888,853.86
  5. Step 5: Solve for x
    x = 34,376,888,853.86/180,899.76
  6. Step 6: Final answer
    x = 190,032.81

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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.