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Finding the Fourth Proportional to 122,805.10, 184,099.65 and 83,233.90

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Solution

The fourth proportional to 122,805.10, 184,099.65 and 83,233.90 is: 124,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,805.10 : 184,099.65 = 83,233.90 : x
  2. Step 2: Convert to fraction form
    122,805.10/184,099.65 = 83,233.90/x
  3. Step 3: Cross multiply
    122,805.10x = 184,099.65 × 83,233.90
  4. Step 4: Simplify right side
    122,805.10x = 15,323,331,858.14
  5. Step 5: Solve for x
    x = 15,323,331,858.14/122,805.10
  6. Step 6: Final answer
    x = 124,777.65

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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.