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Finding the Fourth Proportional to 149,477.73, 224,217.42 and 44,297.61

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Solution

The fourth proportional to 149,477.73, 224,217.42 and 44,297.61 is: 66,446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,477.73 : 224,217.42 = 44,297.61 : x
  2. Step 2: Convert to fraction form
    149,477.73/224,217.42 = 44,297.61/x
  3. Step 3: Cross multiply
    149,477.73x = 224,217.42 × 44,297.61
  4. Step 4: Simplify right side
    149,477.73x = 9,932,295,826.37
  5. Step 5: Solve for x
    x = 9,932,295,826.37/149,477.73
  6. Step 6: Final answer
    x = 66,446.66

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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.