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Finding the Fourth Proportional to 198,842.10, 274,437.66 and 127,219.65

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Solution

The fourth proportional to 198,842.10, 274,437.66 and 127,219.65 is: 175,585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,842.10 : 274,437.66 = 127,219.65 : x
  2. Step 2: Convert to fraction form
    198,842.10/274,437.66 = 127,219.65/x
  3. Step 3: Cross multiply
    198,842.10x = 274,437.66 × 127,219.65
  4. Step 4: Simplify right side
    198,842.10x = 34,913,863,052.02
  5. Step 5: Solve for x
    x = 34,913,863,052.02/198,842.10
  6. Step 6: Final answer
    x = 175,585.87

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