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Finding the Fourth Proportional to 140,378.89, 210,590.20 and 84,205.79

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Solution

The fourth proportional to 140,378.89, 210,590.20 and 84,205.79 is: 126,321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,378.89 : 210,590.20 = 84,205.79 : x
  2. Step 2: Convert to fraction form
    140,378.89/210,590.20 = 84,205.79/x
  3. Step 3: Cross multiply
    140,378.89x = 210,590.20 × 84,205.79
  4. Step 4: Simplify right side
    140,378.89x = 17,732,914,473.22
  5. Step 5: Solve for x
    x = 17,732,914,473.22/140,378.89
  6. Step 6: Final answer
    x = 126,321.81

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