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Finding the Fourth Proportional to 257,416.32, 386,234.40 and 132,844.80

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Solution

The fourth proportional to 257,416.32, 386,234.40 and 132,844.80 is: 199,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,416.32 : 386,234.40 = 132,844.80 : x
  2. Step 2: Convert to fraction form
    257,416.32/386,234.40 = 132,844.80/x
  3. Step 3: Cross multiply
    257,416.32x = 386,234.40 × 132,844.80
  4. Step 4: Simplify right side
    257,416.32x = 51,309,231,621.12
  5. Step 5: Solve for x
    x = 51,309,231,621.12/257,416.32
  6. Step 6: Final answer
    x = 199,323.93

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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.