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Finding the Fourth Proportional to 100,145.70, 150,182.10 and 50,209.20

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Solution

The fourth proportional to 100,145.70, 150,182.10 and 50,209.20 is: 75,295.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,145.70 : 150,182.10 = 50,209.20 : x
  2. Step 2: Convert to fraction form
    100,145.70/150,182.10 = 50,209.20/x
  3. Step 3: Cross multiply
    100,145.70x = 150,182.10 × 50,209.20
  4. Step 4: Simplify right side
    100,145.70x = 7,540,523,095.32
  5. Step 5: Solve for x
    x = 7,540,523,095.32/100,145.70
  6. Step 6: Final answer
    x = 75,295.53

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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.