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Finding the Fourth Proportional to 100,170.77, 150,255.68 and 41,006.43

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Solution

The fourth proportional to 100,170.77, 150,255.68 and 41,006.43 is: 61,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,170.77 : 150,255.68 = 41,006.43 : x
  2. Step 2: Convert to fraction form
    100,170.77/150,255.68 = 41,006.43/x
  3. Step 3: Cross multiply
    100,170.77x = 150,255.68 × 41,006.43
  4. Step 4: Simplify right side
    100,170.77x = 6,161,448,818.99
  5. Step 5: Solve for x
    x = 6,161,448,818.99/100,170.77
  6. Step 6: Final answer
    x = 61,509.45

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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.