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Finding the Fourth Proportional to 198,700.80, 298,051.20 and 110,227.20

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Solution

The fourth proportional to 198,700.80, 298,051.20 and 110,227.20 is: 165,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,700.80 : 298,051.20 = 110,227.20 : x
  2. Step 2: Convert to fraction form
    198,700.80/298,051.20 = 110,227.20/x
  3. Step 3: Cross multiply
    198,700.80x = 298,051.20 × 110,227.20
  4. Step 4: Simplify right side
    198,700.80x = 32,853,349,232.64
  5. Step 5: Solve for x
    x = 32,853,349,232.64/198,700.80
  6. Step 6: Final answer
    x = 165,340.80

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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.