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Finding the Fourth Proportional to 222,492.88, 306,794.24 and 171,392.16

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Solution

The fourth proportional to 222,492.88, 306,794.24 and 171,392.16 is: 236,331.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,492.88 : 306,794.24 = 171,392.16 : x
  2. Step 2: Convert to fraction form
    222,492.88/306,794.24 = 171,392.16/x
  3. Step 3: Cross multiply
    222,492.88x = 306,794.24 × 171,392.16
  4. Step 4: Simplify right side
    222,492.88x = 52,582,127,469.16
  5. Step 5: Solve for x
    x = 52,582,127,469.16/222,492.88
  6. Step 6: Final answer
    x = 236,331.73

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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.