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Finding the Fourth Proportional to 206,691.40, 310,037.10 and 196,849.90

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Solution

The fourth proportional to 206,691.40, 310,037.10 and 196,849.90 is: 295,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,691.40 : 310,037.10 = 196,849.90 : x
  2. Step 2: Convert to fraction form
    206,691.40/310,037.10 = 196,849.90/x
  3. Step 3: Cross multiply
    206,691.40x = 310,037.10 × 196,849.90
  4. Step 4: Simplify right side
    206,691.40x = 61,030,772,131.29
  5. Step 5: Solve for x
    x = 61,030,772,131.29/206,691.40
  6. Step 6: Final answer
    x = 295,274.85

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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.