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Finding the Fourth Proportional to 198,002, 296,259 and 138,952.88

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Solution

The fourth proportional to 198,002, 296,259 and 138,952.88 is: 207,907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,002 : 296,259 = 138,952.88 : x
  2. Step 2: Convert to fraction form
    198,002/296,259 = 138,952.88/x
  3. Step 3: Cross multiply
    198,002x = 296,259 × 138,952.88
  4. Step 4: Simplify right side
    198,002x = 41,166,041,275.92
  5. Step 5: Solve for x
    x = 41,166,041,275.92/198,002
  6. Step 6: Final answer
    x = 207,907.20

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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.