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Finding the Fourth Proportional to 100,249.70, 150,356.30 and 40,275.77

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Solution

The fourth proportional to 100,249.70, 150,356.30 and 40,275.77 is: 60,406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,249.70 : 150,356.30 = 40,275.77 : x
  2. Step 2: Convert to fraction form
    100,249.70/150,356.30 = 40,275.77/x
  3. Step 3: Cross multiply
    100,249.70x = 150,356.30 × 40,275.77
  4. Step 4: Simplify right side
    100,249.70x = 6,055,714,803.69
  5. Step 5: Solve for x
    x = 6,055,714,803.69/100,249.70
  6. Step 6: Final answer
    x = 60,406.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.