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Finding the Fourth Proportional to 100,189.80, 150,342.96 and 37,865.16

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Solution

The fourth proportional to 100,189.80, 150,342.96 and 37,865.16 is: 56,819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,189.80 : 150,342.96 = 37,865.16 : x
  2. Step 2: Convert to fraction form
    100,189.80/150,342.96 = 37,865.16/x
  3. Step 3: Cross multiply
    100,189.80x = 150,342.96 × 37,865.16
  4. Step 4: Simplify right side
    100,189.80x = 5,692,760,235.27
  5. Step 5: Solve for x
    x = 5,692,760,235.27/100,189.80
  6. Step 6: Final answer
    x = 56,819.76

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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.