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Finding the Fourth Proportional to 133,648.20, 200,310.30 and 77,380.20

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Solution

The fourth proportional to 133,648.20, 200,310.30 and 77,380.20 is: 115,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,648.20 : 200,310.30 = 77,380.20 : x
  2. Step 2: Convert to fraction form
    133,648.20/200,310.30 = 77,380.20/x
  3. Step 3: Cross multiply
    133,648.20x = 200,310.30 × 77,380.20
  4. Step 4: Simplify right side
    133,648.20x = 15,500,051,076.06
  5. Step 5: Solve for x
    x = 15,500,051,076.06/133,648.20
  6. Step 6: Final answer
    x = 115,976.50

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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.