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Finding the Fourth Proportional to 207,265.20, 310,974.60 and 82,695.60

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Solution

The fourth proportional to 207,265.20, 310,974.60 and 82,695.60 is: 124,074.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,265.20 : 310,974.60 = 82,695.60 : x
  2. Step 2: Convert to fraction form
    207,265.20/310,974.60 = 82,695.60/x
  3. Step 3: Cross multiply
    207,265.20x = 310,974.60 × 82,695.60
  4. Step 4: Simplify right side
    207,265.20x = 25,716,231,131.76
  5. Step 5: Solve for x
    x = 25,716,231,131.76/207,265.20
  6. Step 6: Final answer
    x = 124,074.04

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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.