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Finding the Fourth Proportional to 220,446.12, 304,214.22 and 119,844.12

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Solution

The fourth proportional to 220,446.12, 304,214.22 and 119,844.12 is: 165,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,446.12 : 304,214.22 = 119,844.12 : x
  2. Step 2: Convert to fraction form
    220,446.12/304,214.22 = 119,844.12/x
  3. Step 3: Cross multiply
    220,446.12x = 304,214.22 × 119,844.12
  4. Step 4: Simplify right side
    220,446.12x = 36,458,285,487.39
  5. Step 5: Solve for x
    x = 36,458,285,487.39/220,446.12
  6. Step 6: Final answer
    x = 165,384.11

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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.