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Finding the Fourth Proportional to 142,096.58, 196,094.92 and 78,434.44

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Solution

The fourth proportional to 142,096.58, 196,094.92 and 78,434.44 is: 108,240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,096.58 : 196,094.92 = 78,434.44 : x
  2. Step 2: Convert to fraction form
    142,096.58/196,094.92 = 78,434.44/x
  3. Step 3: Cross multiply
    142,096.58x = 196,094.92 × 78,434.44
  4. Step 4: Simplify right side
    142,096.58x = 15,380,595,237.04
  5. Step 5: Solve for x
    x = 15,380,595,237.04/142,096.58
  6. Step 6: Final answer
    x = 108,240.43

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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.