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Finding the Fourth Proportional to 278,085.14, 383,777.16 and 157,227.60

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Solution

The fourth proportional to 278,085.14, 383,777.16 and 157,227.60 is: 216,985.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,085.14 : 383,777.16 = 157,227.60 : x
  2. Step 2: Convert to fraction form
    278,085.14/383,777.16 = 157,227.60/x
  3. Step 3: Cross multiply
    278,085.14x = 383,777.16 × 157,227.60
  4. Step 4: Simplify right side
    278,085.14x = 60,340,361,801.62
  5. Step 5: Solve for x
    x = 60,340,361,801.62/278,085.14
  6. Step 6: Final answer
    x = 216,985.21

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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.