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Finding the Fourth Proportional to 184,997.50, 255,296.56 and 100,114.56

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Solution

The fourth proportional to 184,997.50, 255,296.56 and 100,114.56 is: 138,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,997.50 : 255,296.56 = 100,114.56 : x
  2. Step 2: Convert to fraction form
    184,997.50/255,296.56 = 100,114.56/x
  3. Step 3: Cross multiply
    184,997.50x = 255,296.56 × 100,114.56
  4. Step 4: Simplify right side
    184,997.50x = 25,558,902,773.91
  5. Step 5: Solve for x
    x = 25,558,902,773.91/184,997.50
  6. Step 6: Final answer
    x = 138,158.10

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Why These Related Problems?

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