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Finding the Fourth Proportional to 142,004.34, 195,972.21 and 78,338.34

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Solution

The fourth proportional to 142,004.34, 195,972.21 and 78,338.34 is: 108,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,004.34 : 195,972.21 = 78,338.34 : x
  2. Step 2: Convert to fraction form
    142,004.34/195,972.21 = 78,338.34/x
  3. Step 3: Cross multiply
    142,004.34x = 195,972.21 × 78,338.34
  4. Step 4: Simplify right side
    142,004.34x = 15,352,137,617.53
  5. Step 5: Solve for x
    x = 15,352,137,617.53/142,004.34
  6. Step 6: Final answer
    x = 108,110.34

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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.