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Finding the Fourth Proportional to 202,854.22, 279,917.26 and 112,195.78

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Solution

The fourth proportional to 202,854.22, 279,917.26 and 112,195.78 is: 154,818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,854.22 : 279,917.26 = 112,195.78 : x
  2. Step 2: Convert to fraction form
    202,854.22/279,917.26 = 112,195.78/x
  3. Step 3: Cross multiply
    202,854.22x = 279,917.26 × 112,195.78
  4. Step 4: Simplify right side
    202,854.22x = 31,405,535,321.16
  5. Step 5: Solve for x
    x = 31,405,535,321.16/202,854.22
  6. Step 6: Final answer
    x = 154,818.25

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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.