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Finding the Fourth Proportional to 202,033.44, 278,750.16 and 115,992

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Solution

The fourth proportional to 202,033.44, 278,750.16 and 115,992 is: 160,036.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,033.44 : 278,750.16 = 115,992 : x
  2. Step 2: Convert to fraction form
    202,033.44/278,750.16 = 115,992/x
  3. Step 3: Cross multiply
    202,033.44x = 278,750.16 × 115,992
  4. Step 4: Simplify right side
    202,033.44x = 32,332,788,558.72
  5. Step 5: Solve for x
    x = 32,332,788,558.72/202,033.44
  6. Step 6: Final answer
    x = 160,036.82

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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.