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Finding the Fourth Proportional to 224,614.40, 309,856.08 and 133,906.48

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Solution

The fourth proportional to 224,614.40, 309,856.08 and 133,906.48 is: 184,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,614.40 : 309,856.08 = 133,906.48 : x
  2. Step 2: Convert to fraction form
    224,614.40/309,856.08 = 133,906.48/x
  3. Step 3: Cross multiply
    224,614.40x = 309,856.08 × 133,906.48
  4. Step 4: Simplify right side
    224,614.40x = 41,491,736,979.40
  5. Step 5: Solve for x
    x = 41,491,736,979.40/224,614.40
  6. Step 6: Final answer
    x = 184,724.30

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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.