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Finding the Fourth Proportional to 208,500.77, 312,509.22 and 95,944.69

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Solution

The fourth proportional to 208,500.77, 312,509.22 and 95,944.69 is: 143,805.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,500.77 : 312,509.22 = 95,944.69 : x
  2. Step 2: Convert to fraction form
    208,500.77/312,509.22 = 95,944.69/x
  3. Step 3: Cross multiply
    208,500.77x = 312,509.22 × 95,944.69
  4. Step 4: Simplify right side
    208,500.77x = 29,983,600,235.04
  5. Step 5: Solve for x
    x = 29,983,600,235.04/208,500.77
  6. Step 6: Final answer
    x = 143,805.71

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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.