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Finding the Fourth Proportional to 232,195.49, 320,464.80 and 141,604.01

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Solution

The fourth proportional to 232,195.49, 320,464.80 and 141,604.01 is: 195,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,195.49 : 320,464.80 = 141,604.01 : x
  2. Step 2: Convert to fraction form
    232,195.49/320,464.80 = 141,604.01/x
  3. Step 3: Cross multiply
    232,195.49x = 320,464.80 × 141,604.01
  4. Step 4: Simplify right side
    232,195.49x = 45,379,099,141.52
  5. Step 5: Solve for x
    x = 45,379,099,141.52/232,195.49
  6. Step 6: Final answer
    x = 195,434.88

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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.