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Finding the Fourth Proportional to 150,000.64, 206,993.28 and 82,919.68

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Solution

The fourth proportional to 150,000.64, 206,993.28 and 82,919.68 is: 114,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,000.64 : 206,993.28 = 82,919.68 : x
  2. Step 2: Convert to fraction form
    150,000.64/206,993.28 = 82,919.68/x
  3. Step 3: Cross multiply
    150,000.64x = 206,993.28 × 82,919.68
  4. Step 4: Simplify right side
    150,000.64x = 17,163,816,539.75
  5. Step 5: Solve for x
    x = 17,163,816,539.75/150,000.64
  6. Step 6: Final answer
    x = 114,424.96

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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.