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Finding the Fourth Proportional to 120,316.30, 180,439.41 and 36,073.10

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Solution

The fourth proportional to 120,316.30, 180,439.41 and 36,073.10 is: 54,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,316.30 : 180,439.41 = 36,073.10 : x
  2. Step 2: Convert to fraction form
    120,316.30/180,439.41 = 36,073.10/x
  3. Step 3: Cross multiply
    120,316.30x = 180,439.41 × 36,073.10
  4. Step 4: Simplify right side
    120,316.30x = 6,509,008,880.87
  5. Step 5: Solve for x
    x = 6,509,008,880.87/120,316.30
  6. Step 6: Final answer
    x = 54,099.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.