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Finding the Fourth Proportional to 198,952.56, 274,559 and 112,917.24

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Solution

The fourth proportional to 198,952.56, 274,559 and 112,917.24 is: 155,828.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,952.56 : 274,559 = 112,917.24 : x
  2. Step 2: Convert to fraction form
    198,952.56/274,559 = 112,917.24/x
  3. Step 3: Cross multiply
    198,952.56x = 274,559 × 112,917.24
  4. Step 4: Simplify right side
    198,952.56x = 31,002,444,497.16
  5. Step 5: Solve for x
    x = 31,002,444,497.16/198,952.56
  6. Step 6: Final answer
    x = 155,828.33

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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.