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Finding the Fourth Proportional to 265,287.15, 397,680.57 and 132,041.44

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Solution

The fourth proportional to 265,287.15, 397,680.57 and 132,041.44 is: 197,937.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,287.15 : 397,680.57 = 132,041.44 : x
  2. Step 2: Convert to fraction form
    265,287.15/397,680.57 = 132,041.44/x
  3. Step 3: Cross multiply
    265,287.15x = 397,680.57 × 132,041.44
  4. Step 4: Simplify right side
    265,287.15x = 52,510,315,619.92
  5. Step 5: Solve for x
    x = 52,510,315,619.92/265,287.15
  6. Step 6: Final answer
    x = 197,937.65

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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.