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Finding the Fourth Proportional to 302,820.82, 417,887.26 and 166,867.38

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Solution

The fourth proportional to 302,820.82, 417,887.26 and 166,867.38 is: 230,273.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,820.82 : 417,887.26 = 166,867.38 : x
  2. Step 2: Convert to fraction form
    302,820.82/417,887.26 = 166,867.38/x
  3. Step 3: Cross multiply
    302,820.82x = 417,887.26 × 166,867.38
  4. Step 4: Simplify right side
    302,820.82x = 69,731,752,211.58
  5. Step 5: Solve for x
    x = 69,731,752,211.58/302,820.82
  6. Step 6: Final answer
    x = 230,273.97

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