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Finding the Fourth Proportional to 207,545.20, 311,317.80 and 181,301.20

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Solution

The fourth proportional to 207,545.20, 311,317.80 and 181,301.20 is: 271,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,545.20 : 311,317.80 = 181,301.20 : x
  2. Step 2: Convert to fraction form
    207,545.20/311,317.80 = 181,301.20/x
  3. Step 3: Cross multiply
    207,545.20x = 311,317.80 × 181,301.20
  4. Step 4: Simplify right side
    207,545.20x = 56,442,290,721.36
  5. Step 5: Solve for x
    x = 56,442,290,721.36/207,545.20
  6. Step 6: Final answer
    x = 271,951.80

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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.