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Finding the Fourth Proportional to 78,112.80, 117,082.80 and 43,077.60

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Solution

The fourth proportional to 78,112.80, 117,082.80 and 43,077.60 is: 64,568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,112.80 : 117,082.80 = 43,077.60 : x
  2. Step 2: Convert to fraction form
    78,112.80/117,082.80 = 43,077.60/x
  3. Step 3: Cross multiply
    78,112.80x = 117,082.80 × 43,077.60
  4. Step 4: Simplify right side
    78,112.80x = 5,043,646,025.28
  5. Step 5: Solve for x
    x = 5,043,646,025.28/78,112.80
  6. Step 6: Final answer
    x = 64,568.75

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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.