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Finding the Fourth Proportional to 137,872.53, 206,828.24 and 49,099.77

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Solution

The fourth proportional to 137,872.53, 206,828.24 and 49,099.77 is: 73,656.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,872.53 : 206,828.24 = 49,099.77 : x
  2. Step 2: Convert to fraction form
    137,872.53/206,828.24 = 49,099.77/x
  3. Step 3: Cross multiply
    137,872.53x = 206,828.24 × 49,099.77
  4. Step 4: Simplify right side
    137,872.53x = 10,155,218,768.01
  5. Step 5: Solve for x
    x = 10,155,218,768.01/137,872.53
  6. Step 6: Final answer
    x = 73,656.58

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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.