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Finding the Fourth Proportional to 133,679.70, 200,519.55 and 82,941.30

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Solution

The fourth proportional to 133,679.70, 200,519.55 and 82,941.30 is: 124,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,679.70 : 200,519.55 = 82,941.30 : x
  2. Step 2: Convert to fraction form
    133,679.70/200,519.55 = 82,941.30/x
  3. Step 3: Cross multiply
    133,679.70x = 200,519.55 × 82,941.30
  4. Step 4: Simplify right side
    133,679.70x = 16,631,352,152.42
  5. Step 5: Solve for x
    x = 16,631,352,152.42/133,679.70
  6. Step 6: Final answer
    x = 124,411.95

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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.