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Finding the Fourth Proportional to 234,235.82, 323,790.22 and 208,992.38

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Solution

The fourth proportional to 234,235.82, 323,790.22 and 208,992.38 is: 288,895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,235.82 : 323,790.22 = 208,992.38 : x
  2. Step 2: Convert to fraction form
    234,235.82/323,790.22 = 208,992.38/x
  3. Step 3: Cross multiply
    234,235.82x = 323,790.22 × 208,992.38
  4. Step 4: Simplify right side
    234,235.82x = 67,669,688,698.52
  5. Step 5: Solve for x
    x = 67,669,688,698.52/234,235.82
  6. Step 6: Final answer
    x = 288,895.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.