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Finding the Fourth Proportional to 116,161.50, 160,351.98 and 78,486.78

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Solution

The fourth proportional to 116,161.50, 160,351.98 and 78,486.78 is: 108,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,161.50 : 160,351.98 = 78,486.78 : x
  2. Step 2: Convert to fraction form
    116,161.50/160,351.98 = 78,486.78/x
  3. Step 3: Cross multiply
    116,161.50x = 160,351.98 × 78,486.78
  4. Step 4: Simplify right side
    116,161.50x = 12,585,510,576.82
  5. Step 5: Solve for x
    x = 12,585,510,576.82/116,161.50
  6. Step 6: Final answer
    x = 108,344.94

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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.