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Finding the Fourth Proportional to 202,732.80, 279,759.96 and 112,083.48

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Solution

The fourth proportional to 202,732.80, 279,759.96 and 112,083.48 is: 154,668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,732.80 : 279,759.96 = 112,083.48 : x
  2. Step 2: Convert to fraction form
    202,732.80/279,759.96 = 112,083.48/x
  3. Step 3: Cross multiply
    202,732.80x = 279,759.96 × 112,083.48
  4. Step 4: Simplify right side
    202,732.80x = 31,356,469,881.46
  5. Step 5: Solve for x
    x = 31,356,469,881.46/202,732.80
  6. Step 6: Final answer
    x = 154,668.95

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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.