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Finding the Fourth Proportional to 256,434.38, 384,612.68 and 90,183.50

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Solution

The fourth proportional to 256,434.38, 384,612.68 and 90,183.50 is: 135,261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,434.38 : 384,612.68 = 90,183.50 : x
  2. Step 2: Convert to fraction form
    256,434.38/384,612.68 = 90,183.50/x
  3. Step 3: Cross multiply
    256,434.38x = 384,612.68 × 90,183.50
  4. Step 4: Simplify right side
    256,434.38x = 34,685,717,626.78
  5. Step 5: Solve for x
    x = 34,685,717,626.78/256,434.38
  6. Step 6: Final answer
    x = 135,261.57

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Why These Related Problems?

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