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Finding the Fourth Proportional to 142,102.84, 196,103.28 and 78,439.27

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Solution

The fourth proportional to 142,102.84, 196,103.28 and 78,439.27 is: 108,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,102.84 : 196,103.28 = 78,439.27 : x
  2. Step 2: Convert to fraction form
    142,102.84/196,103.28 = 78,439.27/x
  3. Step 3: Cross multiply
    142,102.84x = 196,103.28 × 78,439.27
  4. Step 4: Simplify right side
    142,102.84x = 15,382,198,127.81
  5. Step 5: Solve for x
    x = 15,382,198,127.81/142,102.84
  6. Step 6: Final answer
    x = 108,246.94

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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.