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Finding the Fourth Proportional to 198,485.84, 297,728.30 and 86,151.49

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Solution

The fourth proportional to 198,485.84, 297,728.30 and 86,151.49 is: 129,227.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,485.84 : 297,728.30 = 86,151.49 : x
  2. Step 2: Convert to fraction form
    198,485.84/297,728.30 = 86,151.49/x
  3. Step 3: Cross multiply
    198,485.84x = 297,728.30 × 86,151.49
  4. Step 4: Simplify right side
    198,485.84x = 25,649,736,229.41
  5. Step 5: Solve for x
    x = 25,649,736,229.41/198,485.84
  6. Step 6: Final answer
    x = 129,227.03

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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.