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Finding the Fourth Proportional to 137,794.71, 206,611.62 and 53,456.33

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Solution

The fourth proportional to 137,794.71, 206,611.62 and 53,456.33 is: 80,153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,794.71 : 206,611.62 = 53,456.33 : x
  2. Step 2: Convert to fraction form
    137,794.71/206,611.62 = 53,456.33/x
  3. Step 3: Cross multiply
    137,794.71x = 206,611.62 × 53,456.33
  4. Step 4: Simplify right side
    137,794.71x = 11,044,697,907.50
  5. Step 5: Solve for x
    x = 11,044,697,907.50/137,794.71
  6. Step 6: Final answer
    x = 80,153.28

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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.