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Finding the Fourth Proportional to 222,159.87, 306,579.15 and 120,184.92

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Solution

The fourth proportional to 222,159.87, 306,579.15 and 120,184.92 is: 165,854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,159.87 : 306,579.15 = 120,184.92 : x
  2. Step 2: Convert to fraction form
    222,159.87/306,579.15 = 120,184.92/x
  3. Step 3: Cross multiply
    222,159.87x = 306,579.15 × 120,184.92
  4. Step 4: Simplify right side
    222,159.87x = 36,846,190,616.42
  5. Step 5: Solve for x
    x = 36,846,190,616.42/222,159.87
  6. Step 6: Final answer
    x = 165,854.39

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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.