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Finding the Fourth Proportional to 133,742.80, 200,444.10 and 54,767.80

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Solution

The fourth proportional to 133,742.80, 200,444.10 and 54,767.80 is: 82,082.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,742.80 : 200,444.10 = 54,767.80 : x
  2. Step 2: Convert to fraction form
    133,742.80/200,444.10 = 54,767.80/x
  3. Step 3: Cross multiply
    133,742.80x = 200,444.10 × 54,767.80
  4. Step 4: Simplify right side
    133,742.80x = 10,977,882,379.98
  5. Step 5: Solve for x
    x = 10,977,882,379.98/133,742.80
  6. Step 6: Final answer
    x = 82,082.04

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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.