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Finding the Fourth Proportional to 142,297.60, 196,381.85 and 81,046.39

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Solution

The fourth proportional to 142,297.60, 196,381.85 and 81,046.39 is: 111,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,297.60 : 196,381.85 = 81,046.39 : x
  2. Step 2: Convert to fraction form
    142,297.60/196,381.85 = 81,046.39/x
  3. Step 3: Cross multiply
    142,297.60x = 196,381.85 × 81,046.39
  4. Step 4: Simplify right side
    142,297.60x = 15,916,039,715.68
  5. Step 5: Solve for x
    x = 15,916,039,715.68/142,297.60
  6. Step 6: Final answer
    x = 111,850.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.