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Finding the Fourth Proportional to 265,057.92, 397,714.41 and 131,949.81

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Solution

The fourth proportional to 265,057.92, 397,714.41 and 131,949.81 is: 197,988.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,057.92 : 397,714.41 = 131,949.81 : x
  2. Step 2: Convert to fraction form
    265,057.92/397,714.41 = 131,949.81/x
  3. Step 3: Cross multiply
    265,057.92x = 397,714.41 × 131,949.81
  4. Step 4: Simplify right side
    265,057.92x = 52,478,340,833.76
  5. Step 5: Solve for x
    x = 52,478,340,833.76/265,057.92
  6. Step 6: Final answer
    x = 197,988.20

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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.