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Finding the Fourth Proportional to 302,696.36, 417,717.14 and 166,727.56

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Solution

The fourth proportional to 302,696.36, 417,717.14 and 166,727.56 is: 230,081.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,696.36 : 417,717.14 = 166,727.56 : x
  2. Step 2: Convert to fraction form
    302,696.36/417,717.14 = 166,727.56/x
  3. Step 3: Cross multiply
    302,696.36x = 417,717.14 × 166,727.56
  4. Step 4: Simplify right side
    302,696.36x = 69,644,959,522.38
  5. Step 5: Solve for x
    x = 69,644,959,522.38/302,696.36
  6. Step 6: Final answer
    x = 230,081.92

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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.