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Finding the Fourth Proportional to 77,982.70, 116,864.70 and 68,578.60

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Solution

The fourth proportional to 77,982.70, 116,864.70 and 68,578.60 is: 102,771.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,982.70 : 116,864.70 = 68,578.60 : x
  2. Step 2: Convert to fraction form
    77,982.70/116,864.70 = 68,578.60/x
  3. Step 3: Cross multiply
    77,982.70x = 116,864.70 × 68,578.60
  4. Step 4: Simplify right side
    77,982.70x = 8,014,417,515.42
  5. Step 5: Solve for x
    x = 8,014,417,515.42/77,982.70
  6. Step 6: Final answer
    x = 102,771.74

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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.