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Finding the Fourth Proportional to 302,105.85, 416,896.53 and 166,139.38

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Solution

The fourth proportional to 302,105.85, 416,896.53 and 166,139.38 is: 229,267.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,105.85 : 416,896.53 = 166,139.38 : x
  2. Step 2: Convert to fraction form
    302,105.85/416,896.53 = 166,139.38/x
  3. Step 3: Cross multiply
    302,105.85x = 416,896.53 × 166,139.38
  4. Step 4: Simplify right side
    302,105.85x = 69,262,929,663.15
  5. Step 5: Solve for x
    x = 69,262,929,663.15/302,105.85
  6. Step 6: Final answer
    x = 229,267.09

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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.