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Finding the Fourth Proportional to 202,864.38, 279,947.79 and 112,225.38

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Solution

The fourth proportional to 202,864.38, 279,947.79 and 112,225.38 is: 154,868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,864.38 : 279,947.79 = 112,225.38 : x
  2. Step 2: Convert to fraction form
    202,864.38/279,947.79 = 112,225.38/x
  3. Step 3: Cross multiply
    202,864.38x = 279,947.79 × 112,225.38
  4. Step 4: Simplify right side
    202,864.38x = 31,417,247,112.91
  5. Step 5: Solve for x
    x = 31,417,247,112.91/202,864.38
  6. Step 6: Final answer
    x = 154,868.23

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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.