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Finding the Fourth Proportional to 224,441.44, 309,769.26 and 133,803.28

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Solution

The fourth proportional to 224,441.44, 309,769.26 and 133,803.28 is: 184,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,441.44 : 309,769.26 = 133,803.28 : x
  2. Step 2: Convert to fraction form
    224,441.44/309,769.26 = 133,803.28/x
  3. Step 3: Cross multiply
    224,441.44x = 309,769.26 × 133,803.28
  4. Step 4: Simplify right side
    224,441.44x = 41,448,143,031.17
  5. Step 5: Solve for x
    x = 41,448,143,031.17/224,441.44
  6. Step 6: Final answer
    x = 184,672.42

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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.