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Finding the Fourth Proportional to 137,676.88, 206,492.64 and 44,170.48

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Solution

The fourth proportional to 137,676.88, 206,492.64 and 44,170.48 is: 66,248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,676.88 : 206,492.64 = 44,170.48 : x
  2. Step 2: Convert to fraction form
    137,676.88/206,492.64 = 44,170.48/x
  3. Step 3: Cross multiply
    137,676.88x = 206,492.64 × 44,170.48
  4. Step 4: Simplify right side
    137,676.88x = 9,120,879,025.27
  5. Step 5: Solve for x
    x = 9,120,879,025.27/137,676.88
  6. Step 6: Final answer
    x = 66,248.44

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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.