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Finding the Fourth Proportional to 202,992.20, 280,123.44 and 112,351.88

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Solution

The fourth proportional to 202,992.20, 280,123.44 and 112,351.88 is: 155,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,992.20 : 280,123.44 = 112,351.88 : x
  2. Step 2: Convert to fraction form
    202,992.20/280,123.44 = 112,351.88/x
  3. Step 3: Cross multiply
    202,992.20x = 280,123.44 × 112,351.88
  4. Step 4: Simplify right side
    202,992.20x = 31,472,395,116.07
  5. Step 5: Solve for x
    x = 31,472,395,116.07/202,992.20
  6. Step 6: Final answer
    x = 155,042.39

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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.