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Finding the Fourth Proportional to 207,309.80, 310,734.30 and 113,882.60

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Solution

The fourth proportional to 207,309.80, 310,734.30 and 113,882.60 is: 170,697.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,309.80 : 310,734.30 = 113,882.60 : x
  2. Step 2: Convert to fraction form
    207,309.80/310,734.30 = 113,882.60/x
  3. Step 3: Cross multiply
    207,309.80x = 310,734.30 × 113,882.60
  4. Step 4: Simplify right side
    207,309.80x = 35,387,229,993.18
  5. Step 5: Solve for x
    x = 35,387,229,993.18/207,309.80
  6. Step 6: Final answer
    x = 170,697.33

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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.