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Finding the Fourth Proportional to 205,648.20, 308,933.10 and 197,251.40

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Solution

The fourth proportional to 205,648.20, 308,933.10 and 197,251.40 is: 296,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,648.20 : 308,933.10 = 197,251.40 : x
  2. Step 2: Convert to fraction form
    205,648.20/308,933.10 = 197,251.40/x
  3. Step 3: Cross multiply
    205,648.20x = 308,933.10 × 197,251.40
  4. Step 4: Simplify right side
    205,648.20x = 60,937,486,481.34
  5. Step 5: Solve for x
    x = 60,937,486,481.34/205,648.20
  6. Step 6: Final answer
    x = 296,319.09

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1.5x scale

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.