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Finding the Fourth Proportional to 74,202.46, 102,414.85 and 68,224.66

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Solution

The fourth proportional to 74,202.46, 102,414.85 and 68,224.66 is: 94,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,202.46 : 102,414.85 = 68,224.66 : x
  2. Step 2: Convert to fraction form
    74,202.46/102,414.85 = 68,224.66/x
  3. Step 3: Cross multiply
    74,202.46x = 102,414.85 × 68,224.66
  4. Step 4: Simplify right side
    74,202.46x = 6,987,218,320.20
  5. Step 5: Solve for x
    x = 6,987,218,320.20/74,202.46
  6. Step 6: Final answer
    x = 94,164.24

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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.