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Finding the Fourth Proportional to 198,764.32, 274,290.96 and 109,340.32

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Solution

The fourth proportional to 198,764.32, 274,290.96 and 109,340.32 is: 150,887.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,764.32 : 274,290.96 = 109,340.32 : x
  2. Step 2: Convert to fraction form
    198,764.32/274,290.96 = 109,340.32/x
  3. Step 3: Cross multiply
    198,764.32x = 274,290.96 × 109,340.32
  4. Step 4: Simplify right side
    198,764.32x = 29,991,061,339.51
  5. Step 5: Solve for x
    x = 29,991,061,339.51/198,764.32
  6. Step 6: Final answer
    x = 150,887.55

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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.