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Finding the Fourth Proportional to 100,403.77, 150,509.66 and 37,206.97

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Solution

The fourth proportional to 100,403.77, 150,509.66 and 37,206.97 is: 55,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,403.77 : 150,509.66 = 37,206.97 : x
  2. Step 2: Convert to fraction form
    100,403.77/150,509.66 = 37,206.97/x
  3. Step 3: Cross multiply
    100,403.77x = 150,509.66 × 37,206.97
  4. Step 4: Simplify right side
    100,403.77x = 5,600,008,218.30
  5. Step 5: Solve for x
    x = 5,600,008,218.30/100,403.77
  6. Step 6: Final answer
    x = 55,774.88

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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.