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Finding the Fourth Proportional to 142,100.90, 196,098.83 and 78,438.24

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Solution

The fourth proportional to 142,100.90, 196,098.83 and 78,438.24 is: 108,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,100.90 : 196,098.83 = 78,438.24 : x
  2. Step 2: Convert to fraction form
    142,100.90/196,098.83 = 78,438.24/x
  3. Step 3: Cross multiply
    142,100.90x = 196,098.83 × 78,438.24
  4. Step 4: Simplify right side
    142,100.90x = 15,381,646,993.21
  5. Step 5: Solve for x
    x = 15,381,646,993.21/142,100.90
  6. Step 6: Final answer
    x = 108,244.54

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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.