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Finding the Fourth Proportional to 137,644.60, 206,483.10 and 48,879.40

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Solution

The fourth proportional to 137,644.60, 206,483.10 and 48,879.40 is: 73,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,644.60 : 206,483.10 = 48,879.40 : x
  2. Step 2: Convert to fraction form
    137,644.60/206,483.10 = 48,879.40/x
  3. Step 3: Cross multiply
    137,644.60x = 206,483.10 × 48,879.40
  4. Step 4: Simplify right side
    137,644.60x = 10,092,770,038.14
  5. Step 5: Solve for x
    x = 10,092,770,038.14/137,644.60
  6. Step 6: Final answer
    x = 73,324.85

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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.