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Finding the Fourth Proportional to 103,433.75, 155,057.02 and 71,858.60

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Solution

The fourth proportional to 103,433.75, 155,057.02 and 71,858.60 is: 107,722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,433.75 : 155,057.02 = 71,858.60 : x
  2. Step 2: Convert to fraction form
    103,433.75/155,057.02 = 71,858.60/x
  3. Step 3: Cross multiply
    103,433.75x = 155,057.02 × 71,858.60
  4. Step 4: Simplify right side
    103,433.75x = 11,142,180,377.37
  5. Step 5: Solve for x
    x = 11,142,180,377.37/103,433.75
  6. Step 6: Final answer
    x = 107,722.87

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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.