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Finding the Fourth Proportional to 137,883.83, 206,801.10 and 36,682.43

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Solution

The fourth proportional to 137,883.83, 206,801.10 and 36,682.43 is: 55,017.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,883.83 : 206,801.10 = 36,682.43 : x
  2. Step 2: Convert to fraction form
    137,883.83/206,801.10 = 36,682.43/x
  3. Step 3: Cross multiply
    137,883.83x = 206,801.10 × 36,682.43
  4. Step 4: Simplify right side
    137,883.83x = 7,585,965,840.67
  5. Step 5: Solve for x
    x = 7,585,965,840.67/137,883.83
  6. Step 6: Final answer
    x = 55,017.08

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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.