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Finding the Fourth Proportional to 278,099.20, 416,899.32 and 100,564.48

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Solution

The fourth proportional to 278,099.20, 416,899.32 and 100,564.48 is: 150,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,099.20 : 416,899.32 = 100,564.48 : x
  2. Step 2: Convert to fraction form
    278,099.20/416,899.32 = 100,564.48/x
  3. Step 3: Cross multiply
    278,099.20x = 416,899.32 × 100,564.48
  4. Step 4: Simplify right side
    278,099.20x = 41,925,263,328.15
  5. Step 5: Solve for x
    x = 41,925,263,328.15/278,099.20
  6. Step 6: Final answer
    x = 150,756.50

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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.