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Finding the Fourth Proportional to 140,223, 193,306.78 and 86,471.94

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Solution

The fourth proportional to 140,223, 193,306.78 and 86,471.94 is: 119,207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,223 : 193,306.78 = 86,471.94 : x
  2. Step 2: Convert to fraction form
    140,223/193,306.78 = 86,471.94/x
  3. Step 3: Cross multiply
    140,223x = 193,306.78 × 86,471.94
  4. Step 4: Simplify right side
    140,223x = 16,715,612,281.75
  5. Step 5: Solve for x
    x = 16,715,612,281.75/140,223
  6. Step 6: Final answer
    x = 119,207.35

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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.