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Finding the Fourth Proportional to 301,996.31, 416,757.71 and 166,031.21

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Solution

The fourth proportional to 301,996.31, 416,757.71 and 166,031.21 is: 229,124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,996.31 : 416,757.71 = 166,031.21 : x
  2. Step 2: Convert to fraction form
    301,996.31/416,757.71 = 166,031.21/x
  3. Step 3: Cross multiply
    301,996.31x = 416,757.71 × 166,031.21
  4. Step 4: Simplify right side
    301,996.31x = 69,194,788,325.10
  5. Step 5: Solve for x
    x = 69,194,788,325.10/301,996.31
  6. Step 6: Final answer
    x = 229,124.62

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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.