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Finding the Fourth Proportional to 150,657.98, 225,985.34 and 36,806.82

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Solution

The fourth proportional to 150,657.98, 225,985.34 and 36,806.82 is: 55,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,657.98 : 225,985.34 = 36,806.82 : x
  2. Step 2: Convert to fraction form
    150,657.98/225,985.34 = 36,806.82/x
  3. Step 3: Cross multiply
    150,657.98x = 225,985.34 × 36,806.82
  4. Step 4: Simplify right side
    150,657.98x = 8,317,801,732.02
  5. Step 5: Solve for x
    x = 8,317,801,732.02/150,657.98
  6. Step 6: Final answer
    x = 55,209.83

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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.