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Finding the Fourth Proportional to 120,227.64, 180,404.36 and 49,203

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Solution

The fourth proportional to 120,227.64, 180,404.36 and 49,203 is: 73,830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,227.64 : 180,404.36 = 49,203 : x
  2. Step 2: Convert to fraction form
    120,227.64/180,404.36 = 49,203/x
  3. Step 3: Cross multiply
    120,227.64x = 180,404.36 × 49,203
  4. Step 4: Simplify right side
    120,227.64x = 8,876,435,725.08
  5. Step 5: Solve for x
    x = 8,876,435,725.08/120,227.64
  6. Step 6: Final answer
    x = 73,830.24

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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.