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Finding the Fourth Proportional to 278,137.34, 383,837.07 and 157,296.70

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Solution

The fourth proportional to 278,137.34, 383,837.07 and 157,296.70 is: 217,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,137.34 : 383,837.07 = 157,296.70 : x
  2. Step 2: Convert to fraction form
    278,137.34/383,837.07 = 157,296.70/x
  3. Step 3: Cross multiply
    278,137.34x = 383,837.07 × 157,296.70
  4. Step 4: Simplify right side
    278,137.34x = 60,376,303,119.35
  5. Step 5: Solve for x
    x = 60,376,303,119.35/278,137.34
  6. Step 6: Final answer
    x = 217,073.71

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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.