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Finding the Fourth Proportional to 198,199.38, 273,513.78 and 107,553.06

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Solution

The fourth proportional to 198,199.38, 273,513.78 and 107,553.06 is: 148,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,199.38 : 273,513.78 = 107,553.06 : x
  2. Step 2: Convert to fraction form
    198,199.38/273,513.78 = 107,553.06/x
  3. Step 3: Cross multiply
    198,199.38x = 273,513.78 × 107,553.06
  4. Step 4: Simplify right side
    198,199.38x = 29,417,243,991.17
  5. Step 5: Solve for x
    x = 29,417,243,991.17/198,199.38
  6. Step 6: Final answer
    x = 148,422.48

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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.