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Finding the Fourth Proportional to 198,634.80, 297,952.20 and 188,266.80

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Solution

The fourth proportional to 198,634.80, 297,952.20 and 188,266.80 is: 282,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,634.80 : 297,952.20 = 188,266.80 : x
  2. Step 2: Convert to fraction form
    198,634.80/297,952.20 = 188,266.80/x
  3. Step 3: Cross multiply
    198,634.80x = 297,952.20 × 188,266.80
  4. Step 4: Simplify right side
    198,634.80x = 56,094,507,246.96
  5. Step 5: Solve for x
    x = 56,094,507,246.96/198,634.80
  6. Step 6: Final answer
    x = 282,400.20

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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.