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Finding the Fourth Proportional to 142,471.88, 196,563.45 and 82,041.23

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Solution

The fourth proportional to 142,471.88, 196,563.45 and 82,041.23 is: 113,189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,471.88 : 196,563.45 = 82,041.23 : x
  2. Step 2: Convert to fraction form
    142,471.88/196,563.45 = 82,041.23/x
  3. Step 3: Cross multiply
    142,471.88x = 196,563.45 × 82,041.23
  4. Step 4: Simplify right side
    142,471.88x = 16,126,305,818.02
  5. Step 5: Solve for x
    x = 16,126,305,818.02/142,471.88
  6. Step 6: Final answer
    x = 113,189.39

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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.