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Finding the Fourth Proportional to 202,357.38, 279,251.62 and 111,713.46

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Solution

The fourth proportional to 202,357.38, 279,251.62 and 111,713.46 is: 154,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,357.38 : 279,251.62 = 111,713.46 : x
  2. Step 2: Convert to fraction form
    202,357.38/279,251.62 = 111,713.46/x
  3. Step 3: Cross multiply
    202,357.38x = 279,251.62 × 111,713.46
  4. Step 4: Simplify right side
    202,357.38x = 31,196,164,680.81
  5. Step 5: Solve for x
    x = 31,196,164,680.81/202,357.38
  6. Step 6: Final answer
    x = 154,163.71

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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.