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Finding the Fourth Proportional to 197,374.56, 296,092.90 and 85,086.70

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Solution

The fourth proportional to 197,374.56, 296,092.90 and 85,086.70 is: 127,643.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,374.56 : 296,092.90 = 85,086.70 : x
  2. Step 2: Convert to fraction form
    197,374.56/296,092.90 = 85,086.70/x
  3. Step 3: Cross multiply
    197,374.56x = 296,092.90 × 85,086.70
  4. Step 4: Simplify right side
    197,374.56x = 25,193,567,754.43
  5. Step 5: Solve for x
    x = 25,193,567,754.43/197,374.56
  6. Step 6: Final answer
    x = 127,643.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.