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Finding the Fourth Proportional to 180,087.98, 269,944.25 and 67,690.76

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Solution

The fourth proportional to 180,087.98, 269,944.25 and 67,690.76 is: 101,465.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,087.98 : 269,944.25 = 67,690.76 : x
  2. Step 2: Convert to fraction form
    180,087.98/269,944.25 = 67,690.76/x
  3. Step 3: Cross multiply
    180,087.98x = 269,944.25 × 67,690.76
  4. Step 4: Simplify right side
    180,087.98x = 18,272,729,751.96
  5. Step 5: Solve for x
    x = 18,272,729,751.96/180,087.98
  6. Step 6: Final answer
    x = 101,465.57

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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.