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Finding the Fourth Proportional to 202,741.52, 279,778.92 and 112,094

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Solution

The fourth proportional to 202,741.52, 279,778.92 and 112,094 is: 154,687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,741.52 : 279,778.92 = 112,094 : x
  2. Step 2: Convert to fraction form
    202,741.52/279,778.92 = 112,094/x
  3. Step 3: Cross multiply
    202,741.52x = 279,778.92 × 112,094
  4. Step 4: Simplify right side
    202,741.52x = 31,361,538,258.48
  5. Step 5: Solve for x
    x = 31,361,538,258.48/202,741.52
  6. Step 6: Final answer
    x = 154,687.30

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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.