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Finding the Fourth Proportional to 133,874.66, 200,813.43 and 40,381.22

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Solution

The fourth proportional to 133,874.66, 200,813.43 and 40,381.22 is: 60,572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,874.66 : 200,813.43 = 40,381.22 : x
  2. Step 2: Convert to fraction form
    133,874.66/200,813.43 = 40,381.22/x
  3. Step 3: Cross multiply
    133,874.66x = 200,813.43 × 40,381.22
  4. Step 4: Simplify right side
    133,874.66x = 8,109,091,295.78
  5. Step 5: Solve for x
    x = 8,109,091,295.78/133,874.66
  6. Step 6: Final answer
    x = 60,572.26

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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.