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Finding the Fourth Proportional to 137,797.36, 206,717.70 and 58,912

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Solution

The fourth proportional to 137,797.36, 206,717.70 and 58,912 is: 88,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,797.36 : 206,717.70 = 58,912 : x
  2. Step 2: Convert to fraction form
    137,797.36/206,717.70 = 58,912/x
  3. Step 3: Cross multiply
    137,797.36x = 206,717.70 × 58,912
  4. Step 4: Simplify right side
    137,797.36x = 12,178,153,142.40
  5. Step 5: Solve for x
    x = 12,178,153,142.40/137,797.36
  6. Step 6: Final answer
    x = 88,377.26

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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.