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Finding the Fourth Proportional to 278,638.53, 384,522.65 and 157,803.33

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Solution

The fourth proportional to 278,638.53, 384,522.65 and 157,803.33 is: 217,769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,638.53 : 384,522.65 = 157,803.33 : x
  2. Step 2: Convert to fraction form
    278,638.53/384,522.65 = 157,803.33/x
  3. Step 3: Cross multiply
    278,638.53x = 384,522.65 × 157,803.33
  4. Step 4: Simplify right side
    278,638.53x = 60,678,953,841.41
  5. Step 5: Solve for x
    x = 60,678,953,841.41/278,638.53
  6. Step 6: Final answer
    x = 217,769.43

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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.