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Finding the Fourth Proportional to 137,647.90, 206,433.78 and 48,889.72

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Solution

The fourth proportional to 137,647.90, 206,433.78 and 48,889.72 is: 73,321.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,647.90 : 206,433.78 = 48,889.72 : x
  2. Step 2: Convert to fraction form
    137,647.90/206,433.78 = 48,889.72/x
  3. Step 3: Cross multiply
    137,647.90x = 206,433.78 × 48,889.72
  4. Step 4: Simplify right side
    137,647.90x = 10,092,489,702.74
  5. Step 5: Solve for x
    x = 10,092,489,702.74/137,647.90
  6. Step 6: Final answer
    x = 73,321.06

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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.