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Finding the Fourth Proportional to 185,395.44, 255,826.56 and 113,778.48

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Solution

The fourth proportional to 185,395.44, 255,826.56 and 113,778.48 is: 157,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,395.44 : 255,826.56 = 113,778.48 : x
  2. Step 2: Convert to fraction form
    185,395.44/255,826.56 = 113,778.48/x
  3. Step 3: Cross multiply
    185,395.44x = 255,826.56 × 113,778.48
  4. Step 4: Simplify right side
    185,395.44x = 29,107,557,140.43
  5. Step 5: Solve for x
    x = 29,107,557,140.43/185,395.44
  6. Step 6: Final answer
    x = 157,002.55

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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.