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Finding the Fourth Proportional to 137,859.42, 206,676.12 and 49,062.36

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Solution

The fourth proportional to 137,859.42, 206,676.12 and 49,062.36 is: 73,553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,859.42 : 206,676.12 = 49,062.36 : x
  2. Step 2: Convert to fraction form
    137,859.42/206,676.12 = 49,062.36/x
  3. Step 3: Cross multiply
    137,859.42x = 206,676.12 × 49,062.36
  4. Step 4: Simplify right side
    137,859.42x = 10,140,017,957.53
  5. Step 5: Solve for x
    x = 10,140,017,957.53/137,859.42
  6. Step 6: Final answer
    x = 73,553.32

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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.