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Finding the Fourth Proportional to 265,802.76, 398,494.86 and 132,614.52

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Solution

The fourth proportional to 265,802.76, 398,494.86 and 132,614.52 is: 198,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,802.76 : 398,494.86 = 132,614.52 : x
  2. Step 2: Convert to fraction form
    265,802.76/398,494.86 = 132,614.52/x
  3. Step 3: Cross multiply
    265,802.76x = 398,494.86 × 132,614.52
  4. Step 4: Simplify right side
    265,802.76x = 52,846,204,581.37
  5. Step 5: Solve for x
    x = 52,846,204,581.37/265,802.76
  6. Step 6: Final answer
    x = 198,817.37

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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.