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Finding the Fourth Proportional to 206,691.40, 310,037.10 and 192,694.60

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Solution

The fourth proportional to 206,691.40, 310,037.10 and 192,694.60 is: 289,041.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,691.40 : 310,037.10 = 192,694.60 : x
  2. Step 2: Convert to fraction form
    206,691.40/310,037.10 = 192,694.60/x
  3. Step 3: Cross multiply
    206,691.40x = 310,037.10 × 192,694.60
  4. Step 4: Simplify right side
    206,691.40x = 59,742,474,969.66
  5. Step 5: Solve for x
    x = 59,742,474,969.66/206,691.40
  6. Step 6: Final answer
    x = 289,041.90

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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.