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Finding the Fourth Proportional to 278,137.72, 383,837.59 and 157,297.07

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Solution

The fourth proportional to 278,137.72, 383,837.59 and 157,297.07 is: 217,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,137.72 : 383,837.59 = 157,297.07 : x
  2. Step 2: Convert to fraction form
    278,137.72/383,837.59 = 157,297.07/x
  3. Step 3: Cross multiply
    278,137.72x = 383,837.59 × 157,297.07
  4. Step 4: Simplify right side
    278,137.72x = 60,376,528,262.86
  5. Step 5: Solve for x
    x = 60,376,528,262.86/278,137.72
  6. Step 6: Final answer
    x = 217,074.22

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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.