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Finding the Fourth Proportional to 100,611, 138,847.50 and 55,899

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Solution

The fourth proportional to 100,611, 138,847.50 and 55,899 is: 77,143.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,611 : 138,847.50 = 55,899 : x
  2. Step 2: Convert to fraction form
    100,611/138,847.50 = 55,899/x
  3. Step 3: Cross multiply
    100,611x = 138,847.50 × 55,899
  4. Step 4: Simplify right side
    100,611x = 7,761,436,402.50
  5. Step 5: Solve for x
    x = 7,761,436,402.50/100,611
  6. Step 6: Final answer
    x = 77,143.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.