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Finding the Fourth Proportional to 256,757.14, 385,226.89 and 114,589.49

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Solution

The fourth proportional to 256,757.14, 385,226.89 and 114,589.49 is: 171,924.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,757.14 : 385,226.89 = 114,589.49 : x
  2. Step 2: Convert to fraction form
    256,757.14/385,226.89 = 114,589.49/x
  3. Step 3: Cross multiply
    256,757.14x = 385,226.89 × 114,589.49
  4. Step 4: Simplify right side
    256,757.14x = 44,142,950,646.78
  5. Step 5: Solve for x
    x = 44,142,950,646.78/256,757.14
  6. Step 6: Final answer
    x = 171,924.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.