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Finding the Fourth Proportional to 123,099.86, 184,580.53 and 38,844.32

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Solution

The fourth proportional to 123,099.86, 184,580.53 and 38,844.32 is: 58,244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,099.86 : 184,580.53 = 38,844.32 : x
  2. Step 2: Convert to fraction form
    123,099.86/184,580.53 = 38,844.32/x
  3. Step 3: Cross multiply
    123,099.86x = 184,580.53 × 38,844.32
  4. Step 4: Simplify right side
    123,099.86x = 7,169,904,781.46
  5. Step 5: Solve for x
    x = 7,169,904,781.46/123,099.86
  6. Step 6: Final answer
    x = 58,244.62

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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.