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Finding the Fourth Proportional to 206,569.40, 309,854.10 and 199,352.30

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Solution

The fourth proportional to 206,569.40, 309,854.10 and 199,352.30 is: 299,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,569.40 : 309,854.10 = 199,352.30 : x
  2. Step 2: Convert to fraction form
    206,569.40/309,854.10 = 199,352.30/x
  3. Step 3: Cross multiply
    206,569.40x = 309,854.10 × 199,352.30
  4. Step 4: Simplify right side
    206,569.40x = 61,770,127,499.43
  5. Step 5: Solve for x
    x = 61,770,127,499.43/206,569.40
  6. Step 6: Final answer
    x = 299,028.45

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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.