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Finding the Fourth Proportional to 107,525, 161,314.68 and 75,997.04

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Solution

The fourth proportional to 107,525, 161,314.68 and 75,997.04 is: 114,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,525 : 161,314.68 = 75,997.04 : x
  2. Step 2: Convert to fraction form
    107,525/161,314.68 = 75,997.04/x
  3. Step 3: Cross multiply
    107,525x = 161,314.68 × 75,997.04
  4. Step 4: Simplify right side
    107,525x = 12,259,438,188.55
  5. Step 5: Solve for x
    x = 12,259,438,188.55/107,525
  6. Step 6: Final answer
    x = 114,014.77

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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.