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Finding the Fourth Proportional to 206,854.60, 310,281.90 and 197,231.80

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Solution

The fourth proportional to 206,854.60, 310,281.90 and 197,231.80 is: 295,847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,854.60 : 310,281.90 = 197,231.80 : x
  2. Step 2: Convert to fraction form
    206,854.60/310,281.90 = 197,231.80/x
  3. Step 3: Cross multiply
    206,854.60x = 310,281.90 × 197,231.80
  4. Step 4: Simplify right side
    206,854.60x = 61,197,457,644.42
  5. Step 5: Solve for x
    x = 61,197,457,644.42/206,854.60
  6. Step 6: Final answer
    x = 295,847.70

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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.