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Finding the Fourth Proportional to 141,042.72, 194,644.20 and 83,711.76

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Solution

The fourth proportional to 141,042.72, 194,644.20 and 83,711.76 is: 115,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,042.72 : 194,644.20 = 83,711.76 : x
  2. Step 2: Convert to fraction form
    141,042.72/194,644.20 = 83,711.76/x
  3. Step 3: Cross multiply
    141,042.72x = 194,644.20 × 83,711.76
  4. Step 4: Simplify right side
    141,042.72x = 16,294,008,555.79
  5. Step 5: Solve for x
    x = 16,294,008,555.79/141,042.72
  6. Step 6: Final answer
    x = 115,525.34

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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.