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Finding the Fourth Proportional to 278,873.78, 384,845.81 and 151,549.38

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Solution

The fourth proportional to 278,873.78, 384,845.81 and 151,549.38 is: 209,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,873.78 : 384,845.81 = 151,549.38 : x
  2. Step 2: Convert to fraction form
    278,873.78/384,845.81 = 151,549.38/x
  3. Step 3: Cross multiply
    278,873.78x = 384,845.81 × 151,549.38
  4. Step 4: Simplify right side
    278,873.78x = 58,323,143,143.35
  5. Step 5: Solve for x
    x = 58,323,143,143.35/278,873.78
  6. Step 6: Final answer
    x = 209,138.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.