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Finding the Fourth Proportional to 198,362.57, 297,434.50 and 103,355.65

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Solution

The fourth proportional to 198,362.57, 297,434.50 and 103,355.65 is: 154,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,362.57 : 297,434.50 = 103,355.65 : x
  2. Step 2: Convert to fraction form
    198,362.57/297,434.50 = 103,355.65/x
  3. Step 3: Cross multiply
    198,362.57x = 297,434.50 × 103,355.65
  4. Step 4: Simplify right side
    198,362.57x = 30,741,536,079.93
  5. Step 5: Solve for x
    x = 30,741,536,079.93/198,362.57
  6. Step 6: Final answer
    x = 154,976.50

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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.