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Finding the Fourth Proportional to 78,200.52, 116,728.49 and 67,178.04

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Solution

The fourth proportional to 78,200.52, 116,728.49 and 67,178.04 is: 100,275.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,200.52 : 116,728.49 = 67,178.04 : x
  2. Step 2: Convert to fraction form
    78,200.52/116,728.49 = 67,178.04/x
  3. Step 3: Cross multiply
    78,200.52x = 116,728.49 × 67,178.04
  4. Step 4: Simplify right side
    78,200.52x = 7,841,591,338.30
  5. Step 5: Solve for x
    x = 7,841,591,338.30/78,200.52
  6. Step 6: Final answer
    x = 100,275.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.