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Finding the Fourth Proportional to 198,637.75, 274,120.10 and 109,213.75

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Solution

The fourth proportional to 198,637.75, 274,120.10 and 109,213.75 is: 150,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,637.75 : 274,120.10 = 109,213.75 : x
  2. Step 2: Convert to fraction form
    198,637.75/274,120.10 = 109,213.75/x
  3. Step 3: Cross multiply
    198,637.75x = 274,120.10 × 109,213.75
  4. Step 4: Simplify right side
    198,637.75x = 29,937,684,071.38
  5. Step 5: Solve for x
    x = 29,937,684,071.38/198,637.75
  6. Step 6: Final answer
    x = 150,714.98

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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.