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Finding the Fourth Proportional to 202,722.16, 279,757.20 and 113,298.16

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Solution

The fourth proportional to 202,722.16, 279,757.20 and 113,298.16 is: 156,351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,722.16 : 279,757.20 = 113,298.16 : x
  2. Step 2: Convert to fraction form
    202,722.16/279,757.20 = 113,298.16/x
  3. Step 3: Cross multiply
    202,722.16x = 279,757.20 × 113,298.16
  4. Step 4: Simplify right side
    202,722.16x = 31,695,976,006.75
  5. Step 5: Solve for x
    x = 31,695,976,006.75/202,722.16
  6. Step 6: Final answer
    x = 156,351.81

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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.