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Finding the Fourth Proportional to 220,456.84, 304,232.52 and 119,857

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Solution

The fourth proportional to 220,456.84, 304,232.52 and 119,857 is: 165,403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,456.84 : 304,232.52 = 119,857 : x
  2. Step 2: Convert to fraction form
    220,456.84/304,232.52 = 119,857/x
  3. Step 3: Cross multiply
    220,456.84x = 304,232.52 × 119,857
  4. Step 4: Simplify right side
    220,456.84x = 36,464,397,149.64
  5. Step 5: Solve for x
    x = 36,464,397,149.64/220,456.84
  6. Step 6: Final answer
    x = 165,403.79

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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.