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Finding the Fourth Proportional to 207,908.80, 310,230.16 and 195,213.20

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Solution

The fourth proportional to 207,908.80, 310,230.16 and 195,213.20 is: 291,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,908.80 : 310,230.16 = 195,213.20 : x
  2. Step 2: Convert to fraction form
    207,908.80/310,230.16 = 195,213.20/x
  3. Step 3: Cross multiply
    207,908.80x = 310,230.16 × 195,213.20
  4. Step 4: Simplify right side
    207,908.80x = 60,561,022,270.11
  5. Step 5: Solve for x
    x = 60,561,022,270.11/207,908.80
  6. Step 6: Final answer
    x = 291,286.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.