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Finding the Fourth Proportional to 129,241, 193,861.50 and 41,689

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Solution

The fourth proportional to 129,241, 193,861.50 and 41,689 is: 62,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,241 : 193,861.50 = 41,689 : x
  2. Step 2: Convert to fraction form
    129,241/193,861.50 = 41,689/x
  3. Step 3: Cross multiply
    129,241x = 193,861.50 × 41,689
  4. Step 4: Simplify right side
    129,241x = 8,081,892,073.50
  5. Step 5: Solve for x
    x = 8,081,892,073.50/129,241
  6. Step 6: Final answer
    x = 62,533.50

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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.