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Finding the Fourth Proportional to 198,563.04, 297,813.15 and 165,044.16

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Solution

The fourth proportional to 198,563.04, 297,813.15 and 165,044.16 is: 247,540.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,563.04 : 297,813.15 = 165,044.16 : x
  2. Step 2: Convert to fraction form
    198,563.04/297,813.15 = 165,044.16/x
  3. Step 3: Cross multiply
    198,563.04x = 297,813.15 × 165,044.16
  4. Step 4: Simplify right side
    198,563.04x = 49,152,321,178.70
  5. Step 5: Solve for x
    x = 49,152,321,178.70/198,563.04
  6. Step 6: Final answer
    x = 247,540.13

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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.