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Finding the Fourth Proportional to 213,797.31, 320,057.06 and 129,301.88

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Solution

The fourth proportional to 213,797.31, 320,057.06 and 129,301.88 is: 193,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,797.31 : 320,057.06 = 129,301.88 : x
  2. Step 2: Convert to fraction form
    213,797.31/320,057.06 = 129,301.88/x
  3. Step 3: Cross multiply
    213,797.31x = 320,057.06 × 129,301.88
  4. Step 4: Simplify right side
    213,797.31x = 41,383,977,318.48
  5. Step 5: Solve for x
    x = 41,383,977,318.48/213,797.31
  6. Step 6: Final answer
    x = 193,566.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.