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Finding the Fourth Proportional to 198,568.40, 297,904.44 and 103,804.88

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Solution

The fourth proportional to 198,568.40, 297,904.44 and 103,804.88 is: 155,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,568.40 : 297,904.44 = 103,804.88 : x
  2. Step 2: Convert to fraction form
    198,568.40/297,904.44 = 103,804.88/x
  3. Step 3: Cross multiply
    198,568.40x = 297,904.44 × 103,804.88
  4. Step 4: Simplify right side
    198,568.40x = 30,923,934,645.67
  5. Step 5: Solve for x
    x = 30,923,934,645.67/198,568.40
  6. Step 6: Final answer
    x = 155,734.42

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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.