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Finding the Fourth Proportional to 184,839.68, 255,144.12 and 109,388

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Solution

The fourth proportional to 184,839.68, 255,144.12 and 109,388 is: 150,994.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,839.68 : 255,144.12 = 109,388 : x
  2. Step 2: Convert to fraction form
    184,839.68/255,144.12 = 109,388/x
  3. Step 3: Cross multiply
    184,839.68x = 255,144.12 × 109,388
  4. Step 4: Simplify right side
    184,839.68x = 27,909,704,998.56
  5. Step 5: Solve for x
    x = 27,909,704,998.56/184,839.68
  6. Step 6: Final answer
    x = 150,994.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.