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Finding the Fourth Proportional to 202,541.78, 279,499.14 and 116,494.27

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Solution

The fourth proportional to 202,541.78, 279,499.14 and 116,494.27 is: 160,757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,541.78 : 279,499.14 = 116,494.27 : x
  2. Step 2: Convert to fraction form
    202,541.78/279,499.14 = 116,494.27/x
  3. Step 3: Cross multiply
    202,541.78x = 279,499.14 × 116,494.27
  4. Step 4: Simplify right side
    202,541.78x = 32,560,046,882.43
  5. Step 5: Solve for x
    x = 32,560,046,882.43/202,541.78
  6. Step 6: Final answer
    x = 160,757.19

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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.