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Finding the Fourth Proportional to 202,983.96, 304,660.62 and 108,294.42

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Solution

The fourth proportional to 202,983.96, 304,660.62 and 108,294.42 is: 162,540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,983.96 : 304,660.62 = 108,294.42 : x
  2. Step 2: Convert to fraction form
    202,983.96/304,660.62 = 108,294.42/x
  3. Step 3: Cross multiply
    202,983.96x = 304,660.62 × 108,294.42
  4. Step 4: Simplify right side
    202,983.96x = 32,993,045,139.74
  5. Step 5: Solve for x
    x = 32,993,045,139.74/202,983.96
  6. Step 6: Final answer
    x = 162,540.16

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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.