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Finding the Fourth Proportional to 278,161.73, 383,865.59 and 150,837.33

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Solution

The fourth proportional to 278,161.73, 383,865.59 and 150,837.33 is: 208,156.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,161.73 : 383,865.59 = 150,837.33 : x
  2. Step 2: Convert to fraction form
    278,161.73/383,865.59 = 150,837.33/x
  3. Step 3: Cross multiply
    278,161.73x = 383,865.59 × 150,837.33
  4. Step 4: Simplify right side
    278,161.73x = 57,901,260,674.47
  5. Step 5: Solve for x
    x = 57,901,260,674.47/278,161.73
  6. Step 6: Final answer
    x = 208,156.82

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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.