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Finding the Fourth Proportional to 185,324.30, 277,986.44 and 45,081.71

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Solution

The fourth proportional to 185,324.30, 277,986.44 and 45,081.71 is: 67,622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,324.30 : 277,986.44 = 45,081.71 : x
  2. Step 2: Convert to fraction form
    185,324.30/277,986.44 = 45,081.71/x
  3. Step 3: Cross multiply
    185,324.30x = 277,986.44 × 45,081.71
  4. Step 4: Simplify right side
    185,324.30x = 12,532,102,794.78
  5. Step 5: Solve for x
    x = 12,532,102,794.78/185,324.30
  6. Step 6: Final answer
    x = 67,622.56

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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.