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Finding the Fourth Proportional to 142,096.34, 196,091.88 and 78,434.12

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Solution

The fourth proportional to 142,096.34, 196,091.88 and 78,434.12 is: 108,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,096.34 : 196,091.88 = 78,434.12 : x
  2. Step 2: Convert to fraction form
    142,096.34/196,091.88 = 78,434.12/x
  3. Step 3: Cross multiply
    142,096.34x = 196,091.88 × 78,434.12
  4. Step 4: Simplify right side
    142,096.34x = 15,380,294,046.95
  5. Step 5: Solve for x
    x = 15,380,294,046.95/142,096.34
  6. Step 6: Final answer
    x = 108,238.50

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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.