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Finding the Fourth Proportional to 173,241, 259,861.50 and 41,913

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Solution

The fourth proportional to 173,241, 259,861.50 and 41,913 is: 62,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,241 : 259,861.50 = 41,913 : x
  2. Step 2: Convert to fraction form
    173,241/259,861.50 = 41,913/x
  3. Step 3: Cross multiply
    173,241x = 259,861.50 × 41,913
  4. Step 4: Simplify right side
    173,241x = 10,891,575,049.50
  5. Step 5: Solve for x
    x = 10,891,575,049.50/173,241
  6. Step 6: Final answer
    x = 62,869.50

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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.