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Finding the Fourth Proportional to 123,180.84, 184,774.14 and 40,081.32

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Solution

The fourth proportional to 123,180.84, 184,774.14 and 40,081.32 is: 60,122.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,180.84 : 184,774.14 = 40,081.32 : x
  2. Step 2: Convert to fraction form
    123,180.84/184,774.14 = 40,081.32/x
  3. Step 3: Cross multiply
    123,180.84x = 184,774.14 × 40,081.32
  4. Step 4: Simplify right side
    123,180.84x = 7,405,991,433.06
  5. Step 5: Solve for x
    x = 7,405,991,433.06/123,180.84
  6. Step 6: Final answer
    x = 60,122.92

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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.