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Finding the Fourth Proportional to 142,012.31, 195,968.07 and 78,350.54

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Solution

The fourth proportional to 142,012.31, 195,968.07 and 78,350.54 is: 108,118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,012.31 : 195,968.07 = 78,350.54 : x
  2. Step 2: Convert to fraction form
    142,012.31/195,968.07 = 78,350.54/x
  3. Step 3: Cross multiply
    142,012.31x = 195,968.07 × 78,350.54
  4. Step 4: Simplify right side
    142,012.31x = 15,354,203,127.42
  5. Step 5: Solve for x
    x = 15,354,203,127.42/142,012.31
  6. Step 6: Final answer
    x = 108,118.82

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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.