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Finding the Fourth Proportional to 150,625.77, 225,933.18 and 45,442

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Solution

The fourth proportional to 150,625.77, 225,933.18 and 45,442 is: 68,161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,625.77 : 225,933.18 = 45,442 : x
  2. Step 2: Convert to fraction form
    150,625.77/225,933.18 = 45,442/x
  3. Step 3: Cross multiply
    150,625.77x = 225,933.18 × 45,442
  4. Step 4: Simplify right side
    150,625.77x = 10,266,855,565.56
  5. Step 5: Solve for x
    x = 10,266,855,565.56/150,625.77
  6. Step 6: Final answer
    x = 68,161.35

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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.