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Finding the Fourth Proportional to 142,098.41, 196,095.83 and 78,436.22

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Solution

The fourth proportional to 142,098.41, 196,095.83 and 78,436.22 is: 108,241.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,098.41 : 196,095.83 = 78,436.22 : x
  2. Step 2: Convert to fraction form
    142,098.41/196,095.83 = 78,436.22/x
  3. Step 3: Cross multiply
    142,098.41x = 196,095.83 × 78,436.22
  4. Step 4: Simplify right side
    142,098.41x = 15,381,015,270.78
  5. Step 5: Solve for x
    x = 15,381,015,270.78/142,098.41
  6. Step 6: Final answer
    x = 108,241.99

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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.