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Finding the Fourth Proportional to 198,013.60, 297,064.14 and 98,228.08

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Solution

The fourth proportional to 198,013.60, 297,064.14 and 98,228.08 is: 147,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,013.60 : 297,064.14 = 98,228.08 : x
  2. Step 2: Convert to fraction form
    198,013.60/297,064.14 = 98,228.08/x
  3. Step 3: Cross multiply
    198,013.60x = 297,064.14 × 98,228.08
  4. Step 4: Simplify right side
    198,013.60x = 29,180,040,109.05
  5. Step 5: Solve for x
    x = 29,180,040,109.05/198,013.60
  6. Step 6: Final answer
    x = 147,363.82

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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.