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Finding the Fourth Proportional to 137,284.34, 205,847.69 and 73,163.57

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Solution

The fourth proportional to 137,284.34, 205,847.69 and 73,163.57 is: 109,703.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,284.34 : 205,847.69 = 73,163.57 : x
  2. Step 2: Convert to fraction form
    137,284.34/205,847.69 = 73,163.57/x
  3. Step 3: Cross multiply
    137,284.34x = 205,847.69 × 73,163.57
  4. Step 4: Simplify right side
    137,284.34x = 15,060,550,481.60
  5. Step 5: Solve for x
    x = 15,060,550,481.60/137,284.34
  6. Step 6: Final answer
    x = 109,703.34

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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.