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Finding the Fourth Proportional to 202,739.72, 304,234.65 and 102,971.52

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Solution

The fourth proportional to 202,739.72, 304,234.65 and 102,971.52 is: 154,520.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,739.72 : 304,234.65 = 102,971.52 : x
  2. Step 2: Convert to fraction form
    202,739.72/304,234.65 = 102,971.52/x
  3. Step 3: Cross multiply
    202,739.72x = 304,234.65 × 102,971.52
  4. Step 4: Simplify right side
    202,739.72x = 31,327,504,347.17
  5. Step 5: Solve for x
    x = 31,327,504,347.17/202,739.72
  6. Step 6: Final answer
    x = 154,520.81

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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.