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Finding the Fourth Proportional to 222,280.46, 306,774.51 and 165,593.42

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Solution

The fourth proportional to 222,280.46, 306,774.51 and 165,593.42 is: 228,539.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,280.46 : 306,774.51 = 165,593.42 : x
  2. Step 2: Convert to fraction form
    222,280.46/306,774.51 = 165,593.42/x
  3. Step 3: Cross multiply
    222,280.46x = 306,774.51 × 165,593.42
  4. Step 4: Simplify right side
    222,280.46x = 50,799,840,279.72
  5. Step 5: Solve for x
    x = 50,799,840,279.72/222,280.46
  6. Step 6: Final answer
    x = 228,539.39

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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.