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Finding the Fourth Proportional to 222,414, 332,783.94 and 155,983.80

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Solution

The fourth proportional to 222,414, 332,783.94 and 155,983.80 is: 233,388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,414 : 332,783.94 = 155,983.80 : x
  2. Step 2: Convert to fraction form
    222,414/332,783.94 = 155,983.80/x
  3. Step 3: Cross multiply
    222,414x = 332,783.94 × 155,983.80
  4. Step 4: Simplify right side
    222,414x = 51,908,903,540.17
  5. Step 5: Solve for x
    x = 51,908,903,540.17/222,414
  6. Step 6: Final answer
    x = 233,388.65

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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.