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Finding the Fourth Proportional to 202,741.39, 279,768.38 and 112,098.47

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Solution

The fourth proportional to 202,741.39, 279,768.38 and 112,098.47 is: 154,687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,741.39 : 279,768.38 = 112,098.47 : x
  2. Step 2: Convert to fraction form
    202,741.39/279,768.38 = 112,098.47/x
  3. Step 3: Cross multiply
    202,741.39x = 279,768.38 × 112,098.47
  4. Step 4: Simplify right side
    202,741.39x = 31,361,608,332.05
  5. Step 5: Solve for x
    x = 31,361,608,332.05/202,741.39
  6. Step 6: Final answer
    x = 154,687.75

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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.