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Finding the Fourth Proportional to 327,160.94, 490,741.52 and 102,538.80

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Solution

The fourth proportional to 327,160.94, 490,741.52 and 102,538.80 is: 153,808.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,160.94 : 490,741.52 = 102,538.80 : x
  2. Step 2: Convert to fraction form
    327,160.94/490,741.52 = 102,538.80/x
  3. Step 3: Cross multiply
    327,160.94x = 490,741.52 × 102,538.80
  4. Step 4: Simplify right side
    327,160.94x = 50,320,046,570.98
  5. Step 5: Solve for x
    x = 50,320,046,570.98/327,160.94
  6. Step 6: Final answer
    x = 153,808.23

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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.