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Finding the Fourth Proportional to 224,614.71, 309,856.44 and 133,906.77

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Solution

The fourth proportional to 224,614.71, 309,856.44 and 133,906.77 is: 184,724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,614.71 : 309,856.44 = 133,906.77 : x
  2. Step 2: Convert to fraction form
    224,614.71/309,856.44 = 133,906.77/x
  3. Step 3: Cross multiply
    224,614.71x = 309,856.44 × 133,906.77
  4. Step 4: Simplify right side
    224,614.71x = 41,491,875,044.10
  5. Step 5: Solve for x
    x = 41,491,875,044.10/224,614.71
  6. Step 6: Final answer
    x = 184,724.66

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1.5x scale

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.