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Finding the Fourth Proportional to 206,864.60, 310,296.90 and 197,241.80

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Solution

The fourth proportional to 206,864.60, 310,296.90 and 197,241.80 is: 295,862.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,864.60 : 310,296.90 = 197,241.80 : x
  2. Step 2: Convert to fraction form
    206,864.60/310,296.90 = 197,241.80/x
  3. Step 3: Cross multiply
    206,864.60x = 310,296.90 × 197,241.80
  4. Step 4: Simplify right side
    206,864.60x = 61,203,519,090.42
  5. Step 5: Solve for x
    x = 61,203,519,090.42/206,864.60
  6. Step 6: Final answer
    x = 295,862.70

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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.