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Finding the Fourth Proportional to 301,102.71, 415,521.74 and 166,966.71

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Solution

The fourth proportional to 301,102.71, 415,521.74 and 166,966.71 is: 230,414.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,102.71 : 415,521.74 = 166,966.71 : x
  2. Step 2: Convert to fraction form
    301,102.71/415,521.74 = 166,966.71/x
  3. Step 3: Cross multiply
    301,102.71x = 415,521.74 × 166,966.71
  4. Step 4: Simplify right side
    301,102.71x = 69,378,297,861.28
  5. Step 5: Solve for x
    x = 69,378,297,861.28/301,102.71
  6. Step 6: Final answer
    x = 230,414.06

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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.