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Finding the Fourth Proportional to 137,721.64, 206,737.98 and 54,673.96

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Solution

The fourth proportional to 137,721.64, 206,737.98 and 54,673.96 is: 82,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,721.64 : 206,737.98 = 54,673.96 : x
  2. Step 2: Convert to fraction form
    137,721.64/206,737.98 = 54,673.96/x
  3. Step 3: Cross multiply
    137,721.64x = 206,737.98 × 54,673.96
  4. Step 4: Simplify right side
    137,721.64x = 11,303,184,049.00
  5. Step 5: Solve for x
    x = 11,303,184,049.00/137,721.64
  6. Step 6: Final answer
    x = 82,072.68

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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.