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Finding the Fourth Proportional to 265,534.68, 398,085.84 and 123,469.44

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Solution

The fourth proportional to 265,534.68, 398,085.84 and 123,469.44 is: 185,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,534.68 : 398,085.84 = 123,469.44 : x
  2. Step 2: Convert to fraction form
    265,534.68/398,085.84 = 123,469.44/x
  3. Step 3: Cross multiply
    265,534.68x = 398,085.84 × 123,469.44
  4. Step 4: Simplify right side
    265,534.68x = 49,151,435,736.73
  5. Step 5: Solve for x
    x = 49,151,435,736.73/265,534.68
  6. Step 6: Final answer
    x = 185,103.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.