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Finding the Fourth Proportional to 198,892.47, 298,210.14 and 85,114.56

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Solution

The fourth proportional to 198,892.47, 298,210.14 and 85,114.56 is: 127,616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,892.47 : 298,210.14 = 85,114.56 : x
  2. Step 2: Convert to fraction form
    198,892.47/298,210.14 = 85,114.56/x
  3. Step 3: Cross multiply
    198,892.47x = 298,210.14 × 85,114.56
  4. Step 4: Simplify right side
    198,892.47x = 25,382,024,853.64
  5. Step 5: Solve for x
    x = 25,382,024,853.64/198,892.47
  6. Step 6: Final answer
    x = 127,616.82

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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.