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Finding the Fourth Proportional to 100,129.50, 150,224.22 and 57,999.78

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Solution

The fourth proportional to 100,129.50, 150,224.22 and 57,999.78 is: 87,017.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,129.50 : 150,224.22 = 57,999.78 : x
  2. Step 2: Convert to fraction form
    100,129.50/150,224.22 = 57,999.78/x
  3. Step 3: Cross multiply
    100,129.50x = 150,224.22 × 57,999.78
  4. Step 4: Simplify right side
    100,129.50x = 8,712,971,710.67
  5. Step 5: Solve for x
    x = 8,712,971,710.67/100,129.50
  6. Step 6: Final answer
    x = 87,017.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.