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Finding the Fourth Proportional to 278,468.34, 384,286.66 and 151,143.98

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Solution

The fourth proportional to 278,468.34, 384,286.66 and 151,143.98 is: 208,578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,468.34 : 384,286.66 = 151,143.98 : x
  2. Step 2: Convert to fraction form
    278,468.34/384,286.66 = 151,143.98/x
  3. Step 3: Cross multiply
    278,468.34x = 384,286.66 × 151,143.98
  4. Step 4: Simplify right side
    278,468.34x = 58,082,615,253.31
  5. Step 5: Solve for x
    x = 58,082,615,253.31/278,468.34
  6. Step 6: Final answer
    x = 208,578.88

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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.