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Finding the Fourth Proportional to 232,704.19, 321,151.13 and 137,229.49

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Solution

The fourth proportional to 232,704.19, 321,151.13 and 137,229.49 is: 189,388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,704.19 : 321,151.13 = 137,229.49 : x
  2. Step 2: Convert to fraction form
    232,704.19/321,151.13 = 137,229.49/x
  3. Step 3: Cross multiply
    232,704.19x = 321,151.13 × 137,229.49
  4. Step 4: Simplify right side
    232,704.19x = 44,071,405,782.82
  5. Step 5: Solve for x
    x = 44,071,405,782.82/232,704.19
  6. Step 6: Final answer
    x = 189,388.11

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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.