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Finding the Fourth Proportional to 224,538.78, 309,855.81 and 133,847.97

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Solution

The fourth proportional to 224,538.78, 309,855.81 and 133,847.97 is: 184,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,538.78 : 309,855.81 = 133,847.97 : x
  2. Step 2: Convert to fraction form
    224,538.78/309,855.81 = 133,847.97/x
  3. Step 3: Cross multiply
    224,538.78x = 309,855.81 × 133,847.97
  4. Step 4: Simplify right side
    224,538.78x = 41,473,571,161.21
  5. Step 5: Solve for x
    x = 41,473,571,161.21/224,538.78
  6. Step 6: Final answer
    x = 184,705.60

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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.