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Finding the Fourth Proportional to 142,099.44, 196,098.83 and 78,437.22

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Solution

The fourth proportional to 142,099.44, 196,098.83 and 78,437.22 is: 108,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,099.44 : 196,098.83 = 78,437.22 : x
  2. Step 2: Convert to fraction form
    142,099.44/196,098.83 = 78,437.22/x
  3. Step 3: Cross multiply
    142,099.44x = 196,098.83 × 78,437.22
  4. Step 4: Simplify right side
    142,099.44x = 15,381,446,237.04
  5. Step 5: Solve for x
    x = 15,381,446,237.04/142,099.44
  6. Step 6: Final answer
    x = 108,244.25

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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.