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Finding the Fourth Proportional to 327,159.98, 490,739.23 and 102,537.53

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Solution

The fourth proportional to 327,159.98, 490,739.23 and 102,537.53 is: 153,806.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,159.98 : 490,739.23 = 102,537.53 : x
  2. Step 2: Convert to fraction form
    327,159.98/490,739.23 = 102,537.53/x
  3. Step 3: Cross multiply
    327,159.98x = 490,739.23 × 102,537.53
  4. Step 4: Simplify right side
    327,159.98x = 50,319,187,456.28
  5. Step 5: Solve for x
    x = 50,319,187,456.28/327,159.98
  6. Step 6: Final answer
    x = 153,806.06

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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.