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Finding the Fourth Proportional to 224,529.77, 309,843.38 and 133,838.98

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Solution

The fourth proportional to 224,529.77, 309,843.38 and 133,838.98 is: 184,693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,529.77 : 309,843.38 = 133,838.98 : x
  2. Step 2: Convert to fraction form
    224,529.77/309,843.38 = 133,838.98/x
  3. Step 3: Cross multiply
    224,529.77x = 309,843.38 × 133,838.98
  4. Step 4: Simplify right side
    224,529.77x = 41,469,122,488.97
  5. Step 5: Solve for x
    x = 41,469,122,488.97/224,529.77
  6. Step 6: Final answer
    x = 184,693.20

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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.