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Finding the Fourth Proportional to 302,819.82, 417,885.89 and 166,866.38

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Solution

The fourth proportional to 302,819.82, 417,885.89 and 166,866.38 is: 230,272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,819.82 : 417,885.89 = 166,866.38 : x
  2. Step 2: Convert to fraction form
    302,819.82/417,885.89 = 166,866.38/x
  3. Step 3: Cross multiply
    302,819.82x = 417,885.89 × 166,866.38
  4. Step 4: Simplify right side
    302,819.82x = 69,731,104,360.69
  5. Step 5: Solve for x
    x = 69,731,104,360.69/302,819.82
  6. Step 6: Final answer
    x = 230,272.59

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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.