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Finding the Fourth Proportional to 222,694.50, 333,204.75 and 156,264.24

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Solution

The fourth proportional to 222,694.50, 333,204.75 and 156,264.24 is: 233,809.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,694.50 : 333,204.75 = 156,264.24 : x
  2. Step 2: Convert to fraction form
    222,694.50/333,204.75 = 156,264.24/x
  3. Step 3: Cross multiply
    222,694.50x = 333,204.75 × 156,264.24
  4. Step 4: Simplify right side
    222,694.50x = 52,067,987,023.14
  5. Step 5: Solve for x
    x = 52,067,987,023.14/222,694.50
  6. Step 6: Final answer
    x = 233,809.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.