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Finding the Fourth Proportional to 78,820.80, 117,943.20 and 58,084.80

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Solution

The fourth proportional to 78,820.80, 117,943.20 and 58,084.80 is: 86,914.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,820.80 : 117,943.20 = 58,084.80 : x
  2. Step 2: Convert to fraction form
    78,820.80/117,943.20 = 58,084.80/x
  3. Step 3: Cross multiply
    78,820.80x = 117,943.20 × 58,084.80
  4. Step 4: Simplify right side
    78,820.80x = 6,850,707,183.36
  5. Step 5: Solve for x
    x = 6,850,707,183.36/78,820.80
  6. Step 6: Final answer
    x = 86,914.97

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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.