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Finding the Fourth Proportional to 327,142.42, 490,713.03 and 102,520.06

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Solution

The fourth proportional to 327,142.42, 490,713.03 and 102,520.06 is: 153,779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,142.42 : 490,713.03 = 102,520.06 : x
  2. Step 2: Convert to fraction form
    327,142.42/490,713.03 = 102,520.06/x
  3. Step 3: Cross multiply
    327,142.42x = 490,713.03 × 102,520.06
  4. Step 4: Simplify right side
    327,142.42x = 50,307,929,278.38
  5. Step 5: Solve for x
    x = 50,307,929,278.38/327,142.42
  6. Step 6: Final answer
    x = 153,779.90

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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.