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Finding the Fourth Proportional to 218,663.34, 301,757.31 and 123,151.38

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Solution

The fourth proportional to 218,663.34, 301,757.31 and 123,151.38 is: 169,949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,663.34 : 301,757.31 = 123,151.38 : x
  2. Step 2: Convert to fraction form
    218,663.34/301,757.31 = 123,151.38/x
  3. Step 3: Cross multiply
    218,663.34x = 301,757.31 × 123,151.38
  4. Step 4: Simplify right side
    218,663.34x = 37,161,829,151.59
  5. Step 5: Solve for x
    x = 37,161,829,151.59/218,663.34
  6. Step 6: Final answer
    x = 169,949.97

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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.