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Finding the Fourth Proportional to 202,542.66, 279,500.31 and 116,495.13

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Solution

The fourth proportional to 202,542.66, 279,500.31 and 116,495.13 is: 160,758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,542.66 : 279,500.31 = 116,495.13 : x
  2. Step 2: Convert to fraction form
    202,542.66/279,500.31 = 116,495.13/x
  3. Step 3: Cross multiply
    202,542.66x = 279,500.31 × 116,495.13
  4. Step 4: Simplify right side
    202,542.66x = 32,560,424,948.49
  5. Step 5: Solve for x
    x = 32,560,424,948.49/202,542.66
  6. Step 6: Final answer
    x = 160,758.36

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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.