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Finding the Fourth Proportional to 206,765.30, 310,147.95 and 82,106.30

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Solution

The fourth proportional to 206,765.30, 310,147.95 and 82,106.30 is: 123,159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,765.30 : 310,147.95 = 82,106.30 : x
  2. Step 2: Convert to fraction form
    206,765.30/310,147.95 = 82,106.30/x
  3. Step 3: Cross multiply
    206,765.30x = 310,147.95 × 82,106.30
  4. Step 4: Simplify right side
    206,765.30x = 25,465,100,627.09
  5. Step 5: Solve for x
    x = 25,465,100,627.09/206,765.30
  6. Step 6: Final answer
    x = 123,159.45

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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.