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Finding the Fourth Proportional to 302,891.26, 417,992.80 and 166,930.11

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Solution

The fourth proportional to 302,891.26, 417,992.80 and 166,930.11 is: 230,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,891.26 : 417,992.80 = 166,930.11 : x
  2. Step 2: Convert to fraction form
    302,891.26/417,992.80 = 166,930.11/x
  3. Step 3: Cross multiply
    302,891.26x = 417,992.80 × 166,930.11
  4. Step 4: Simplify right side
    302,891.26x = 69,775,583,248.56
  5. Step 5: Solve for x
    x = 69,775,583,248.56/302,891.26
  6. Step 6: Final answer
    x = 230,365.13

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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.