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Finding the Fourth Proportional to 124,213.50, 186,349.82 and 41,107.50

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Solution

The fourth proportional to 124,213.50, 186,349.82 and 41,107.50 is: 61,671.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,213.50 : 186,349.82 = 41,107.50 : x
  2. Step 2: Convert to fraction form
    124,213.50/186,349.82 = 41,107.50/x
  3. Step 3: Cross multiply
    124,213.50x = 186,349.82 × 41,107.50
  4. Step 4: Simplify right side
    124,213.50x = 7,660,375,020.11
  5. Step 5: Solve for x
    x = 7,660,375,020.11/124,213.50
  6. Step 6: Final answer
    x = 61,671.03

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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.