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Finding the Fourth Proportional to 142,753.80, 196,994.96 and 82,326.98

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Solution

The fourth proportional to 142,753.80, 196,994.96 and 82,326.98 is: 113,608.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,753.80 : 196,994.96 = 82,326.98 : x
  2. Step 2: Convert to fraction form
    142,753.80/196,994.96 = 82,326.98/x
  3. Step 3: Cross multiply
    142,753.80x = 196,994.96 × 82,326.98
  4. Step 4: Simplify right side
    142,753.80x = 16,218,000,132.02
  5. Step 5: Solve for x
    x = 16,218,000,132.02/142,753.80
  6. Step 6: Final answer
    x = 113,608.19

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1.5x scale

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.