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Finding the Fourth Proportional to 265,954.32, 398,864.52 and 132,738.48

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Solution

The fourth proportional to 265,954.32, 398,864.52 and 132,738.48 is: 199,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,954.32 : 398,864.52 = 132,738.48 : x
  2. Step 2: Convert to fraction form
    265,954.32/398,864.52 = 132,738.48/x
  3. Step 3: Cross multiply
    265,954.32x = 398,864.52 × 132,738.48
  4. Step 4: Simplify right side
    265,954.32x = 52,944,670,110.73
  5. Step 5: Solve for x
    x = 52,944,670,110.73/265,954.32
  6. Step 6: Final answer
    x = 199,074.30

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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.