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Finding the Fourth Proportional to 198,967.04, 274,575 and 109,543.04

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Solution

The fourth proportional to 198,967.04, 274,575 and 109,543.04 is: 151,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,967.04 : 274,575 = 109,543.04 : x
  2. Step 2: Convert to fraction form
    198,967.04/274,575 = 109,543.04/x
  3. Step 3: Cross multiply
    198,967.04x = 274,575 × 109,543.04
  4. Step 4: Simplify right side
    198,967.04x = 30,077,780,208
  5. Step 5: Solve for x
    x = 30,077,780,208/198,967.04
  6. Step 6: Final answer
    x = 151,169.66

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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.