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Finding the Fourth Proportional to 327,201.74, 490,808.84 and 102,557.24

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Solution

The fourth proportional to 327,201.74, 490,808.84 and 102,557.24 is: 153,837.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,201.74 : 490,808.84 = 102,557.24 : x
  2. Step 2: Convert to fraction form
    327,201.74/490,808.84 = 102,557.24/x
  3. Step 3: Cross multiply
    327,201.74x = 490,808.84 × 102,557.24
  4. Step 4: Simplify right side
    327,201.74x = 50,335,997,031.17
  5. Step 5: Solve for x
    x = 50,335,997,031.17/327,201.74
  6. Step 6: Final answer
    x = 153,837.81

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