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Finding the Fourth Proportional to 142,099.58, 196,099.06 and 78,437.44

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Solution

The fourth proportional to 142,099.58, 196,099.06 and 78,437.44 is: 108,244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,099.58 : 196,099.06 = 78,437.44 : x
  2. Step 2: Convert to fraction form
    142,099.58/196,099.06 = 78,437.44/x
  3. Step 3: Cross multiply
    142,099.58x = 196,099.06 × 78,437.44
  4. Step 4: Simplify right side
    142,099.58x = 15,381,508,252.81
  5. Step 5: Solve for x
    x = 15,381,508,252.81/142,099.58
  6. Step 6: Final answer
    x = 108,244.57

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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.