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Finding the Fourth Proportional to 198,963.18, 274,569.90 and 108,320.22

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Solution

The fourth proportional to 198,963.18, 274,569.90 and 108,320.22 is: 149,482.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,963.18 : 274,569.90 = 108,320.22 : x
  2. Step 2: Convert to fraction form
    198,963.18/274,569.90 = 108,320.22/x
  3. Step 3: Cross multiply
    198,963.18x = 274,569.90 × 108,320.22
  4. Step 4: Simplify right side
    198,963.18x = 29,741,471,973.38
  5. Step 5: Solve for x
    x = 29,741,471,973.38/198,963.18
  6. Step 6: Final answer
    x = 149,482.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.