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Finding the Fourth Proportional to 224,523.60, 309,834.84 and 133,832.79

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Solution

The fourth proportional to 224,523.60, 309,834.84 and 133,832.79 is: 184,684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,523.60 : 309,834.84 = 133,832.79 : x
  2. Step 2: Convert to fraction form
    224,523.60/309,834.84 = 133,832.79/x
  3. Step 3: Cross multiply
    224,523.60x = 309,834.84 × 133,832.79
  4. Step 4: Simplify right side
    224,523.60x = 41,466,061,076.40
  5. Step 5: Solve for x
    x = 41,466,061,076.40/224,523.60
  6. Step 6: Final answer
    x = 184,684.64

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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.