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Finding the Fourth Proportional to 221,911.38, 306,151.65 and 141,324.48

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Solution

The fourth proportional to 221,911.38, 306,151.65 and 141,324.48 is: 194,972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,911.38 : 306,151.65 = 141,324.48 : x
  2. Step 2: Convert to fraction form
    221,911.38/306,151.65 = 141,324.48/x
  3. Step 3: Cross multiply
    221,911.38x = 306,151.65 × 141,324.48
  4. Step 4: Simplify right side
    221,911.38x = 43,266,722,737.39
  5. Step 5: Solve for x
    x = 43,266,722,737.39/221,911.38
  6. Step 6: Final answer
    x = 194,972.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.