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Finding the Fourth Proportional to 202,356.38, 279,250.24 and 111,712.46

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Solution

The fourth proportional to 202,356.38, 279,250.24 and 111,712.46 is: 154,162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,356.38 : 279,250.24 = 111,712.46 : x
  2. Step 2: Convert to fraction form
    202,356.38/279,250.24 = 111,712.46/x
  3. Step 3: Cross multiply
    202,356.38x = 279,250.24 × 111,712.46
  4. Step 4: Simplify right side
    202,356.38x = 31,195,731,265.99
  5. Step 5: Solve for x
    x = 31,195,731,265.99/202,356.38
  6. Step 6: Final answer
    x = 154,162.33

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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.