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Finding the Fourth Proportional to 198,227.64, 297,061.84 and 153,645.76

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Solution

The fourth proportional to 198,227.64, 297,061.84 and 153,645.76 is: 230,251.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,227.64 : 297,061.84 = 153,645.76 : x
  2. Step 2: Convert to fraction form
    198,227.64/297,061.84 = 153,645.76/x
  3. Step 3: Cross multiply
    198,227.64x = 297,061.84 × 153,645.76
  4. Step 4: Simplify right side
    198,227.64x = 45,642,292,173.80
  5. Step 5: Solve for x
    x = 45,642,292,173.80/198,227.64
  6. Step 6: Final answer
    x = 230,251.91

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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.