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Finding the Fourth Proportional to 133,396.02, 200,020.23 and 54,565.65

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Solution

The fourth proportional to 133,396.02, 200,020.23 and 54,565.65 is: 81,818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,396.02 : 200,020.23 = 54,565.65 : x
  2. Step 2: Convert to fraction form
    133,396.02/200,020.23 = 54,565.65/x
  3. Step 3: Cross multiply
    133,396.02x = 200,020.23 × 54,565.65
  4. Step 4: Simplify right side
    133,396.02x = 10,914,233,863.10
  5. Step 5: Solve for x
    x = 10,914,233,863.10/133,396.02
  6. Step 6: Final answer
    x = 81,818.29

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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.