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Finding the Fourth Proportional to 222,273, 306,734.27 and 120,296.16

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Solution

The fourth proportional to 222,273, 306,734.27 and 120,296.16 is: 166,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,273 : 306,734.27 = 120,296.16 : x
  2. Step 2: Convert to fraction form
    222,273/306,734.27 = 120,296.16/x
  3. Step 3: Cross multiply
    222,273x = 306,734.27 × 120,296.16
  4. Step 4: Simplify right side
    222,273x = 36,898,954,219.92
  5. Step 5: Solve for x
    x = 36,898,954,219.92/222,273
  6. Step 6: Final answer
    x = 166,007.36

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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.