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Finding the Fourth Proportional to 207,245.20, 310,944.60 and 199,565.20

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Solution

The fourth proportional to 207,245.20, 310,944.60 and 199,565.20 is: 299,421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,245.20 : 310,944.60 = 199,565.20 : x
  2. Step 2: Convert to fraction form
    207,245.20/310,944.60 = 199,565.20/x
  3. Step 3: Cross multiply
    207,245.20x = 310,944.60 × 199,565.20
  4. Step 4: Simplify right side
    207,245.20x = 62,053,721,287.92
  5. Step 5: Solve for x
    x = 62,053,721,287.92/207,245.20
  6. Step 6: Final answer
    x = 299,421.75

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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.