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Finding the Fourth Proportional to 140,901, 194,463.27 and 87,203.31

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Solution

The fourth proportional to 140,901, 194,463.27 and 87,203.31 is: 120,352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,901 : 194,463.27 = 87,203.31 : x
  2. Step 2: Convert to fraction form
    140,901/194,463.27 = 87,203.31/x
  3. Step 3: Cross multiply
    140,901x = 194,463.27 × 87,203.31
  4. Step 4: Simplify right side
    140,901x = 16,957,840,817.42
  5. Step 5: Solve for x
    x = 16,957,840,817.42/140,901
  6. Step 6: Final answer
    x = 120,352.88

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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.