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Finding the Fourth Proportional to 150,604.41, 225,772.38 and 57,175.77

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Solution

The fourth proportional to 150,604.41, 225,772.38 and 57,175.77 is: 85,712.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,604.41 : 225,772.38 = 57,175.77 : x
  2. Step 2: Convert to fraction form
    150,604.41/225,772.38 = 57,175.77/x
  3. Step 3: Cross multiply
    150,604.41x = 225,772.38 × 57,175.77
  4. Step 4: Simplify right side
    150,604.41x = 12,908,709,671.23
  5. Step 5: Solve for x
    x = 12,908,709,671.23/150,604.41
  6. Step 6: Final answer
    x = 85,712.69

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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.