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Finding the Fourth Proportional to 123,238.28, 184,985.04 and 75,887.48

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Solution

The fourth proportional to 123,238.28, 184,985.04 and 75,887.48 is: 113,909.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,238.28 : 184,985.04 = 75,887.48 : x
  2. Step 2: Convert to fraction form
    123,238.28/184,985.04 = 75,887.48/x
  3. Step 3: Cross multiply
    123,238.28x = 184,985.04 × 75,887.48
  4. Step 4: Simplify right side
    123,238.28x = 14,038,048,523.30
  5. Step 5: Solve for x
    x = 14,038,048,523.30/123,238.28
  6. Step 6: Final answer
    x = 113,909.81

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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.