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Finding the Fourth Proportional to 207,129.40, 310,694.10 and 82,406.20

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Solution

The fourth proportional to 207,129.40, 310,694.10 and 82,406.20 is: 123,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,129.40 : 310,694.10 = 82,406.20 : x
  2. Step 2: Convert to fraction form
    207,129.40/310,694.10 = 82,406.20/x
  3. Step 3: Cross multiply
    207,129.40x = 310,694.10 × 82,406.20
  4. Step 4: Simplify right side
    207,129.40x = 25,603,120,143.42
  5. Step 5: Solve for x
    x = 25,603,120,143.42/207,129.40
  6. Step 6: Final answer
    x = 123,609.30

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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.