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Finding the Fourth Proportional to 278,214.40, 383,936.32 and 150,890.10

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Solution

The fourth proportional to 278,214.40, 383,936.32 and 150,890.10 is: 208,228.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,214.40 : 383,936.32 = 150,890.10 : x
  2. Step 2: Convert to fraction form
    278,214.40/383,936.32 = 150,890.10/x
  3. Step 3: Cross multiply
    278,214.40x = 383,936.32 × 150,890.10
  4. Step 4: Simplify right side
    278,214.40x = 57,932,189,718.43
  5. Step 5: Solve for x
    x = 57,932,189,718.43/278,214.40
  6. Step 6: Final answer
    x = 208,228.58

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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.