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Finding the Fourth Proportional to 278,217.40, 383,940.46 and 150,893.10

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Solution

The fourth proportional to 278,217.40, 383,940.46 and 150,893.10 is: 208,232.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,217.40 : 383,940.46 = 150,893.10 : x
  2. Step 2: Convert to fraction form
    278,217.40/383,940.46 = 150,893.10/x
  3. Step 3: Cross multiply
    278,217.40x = 383,940.46 × 150,893.10
  4. Step 4: Simplify right side
    278,217.40x = 57,933,966,224.83
  5. Step 5: Solve for x
    x = 57,933,966,224.83/278,217.40
  6. Step 6: Final answer
    x = 208,232.72

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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.