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Finding the Fourth Proportional to 302,175.73, 417,012.66 and 166,215.40

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Solution

The fourth proportional to 302,175.73, 417,012.66 and 166,215.40 is: 229,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,175.73 : 417,012.66 = 166,215.40 : x
  2. Step 2: Convert to fraction form
    302,175.73/417,012.66 = 166,215.40/x
  3. Step 3: Cross multiply
    302,175.73x = 417,012.66 × 166,215.40
  4. Step 4: Simplify right side
    302,175.73x = 69,313,926,086.96
  5. Step 5: Solve for x
    x = 69,313,926,086.96/302,175.73
  6. Step 6: Final answer
    x = 229,382.84

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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.