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Finding the Fourth Proportional to 198,967.68, 274,575.24 and 109,543.68

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Solution

The fourth proportional to 198,967.68, 274,575.24 and 109,543.68 is: 151,170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,967.68 : 274,575.24 = 109,543.68 : x
  2. Step 2: Convert to fraction form
    198,967.68/274,575.24 = 109,543.68/x
  3. Step 3: Cross multiply
    198,967.68x = 274,575.24 × 109,543.68
  4. Step 4: Simplify right side
    198,967.68x = 30,077,982,226.48
  5. Step 5: Solve for x
    x = 30,077,982,226.48/198,967.68
  6. Step 6: Final answer
    x = 151,170.19

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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.