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Finding the Fourth Proportional to 123,153.96, 184,729.86 and 38,914.14

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Solution

The fourth proportional to 123,153.96, 184,729.86 and 38,914.14 is: 58,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,153.96 : 184,729.86 = 38,914.14 : x
  2. Step 2: Convert to fraction form
    123,153.96/184,729.86 = 38,914.14/x
  3. Step 3: Cross multiply
    123,153.96x = 184,729.86 × 38,914.14
  4. Step 4: Simplify right side
    123,153.96x = 7,188,603,634.22
  5. Step 5: Solve for x
    x = 7,188,603,634.22/123,153.96
  6. Step 6: Final answer
    x = 58,370.87

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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.