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Finding the Fourth Proportional to 277,043.96, 415,543.68 and 123,217.56

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Solution

The fourth proportional to 277,043.96, 415,543.68 and 123,217.56 is: 184,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,043.96 : 415,543.68 = 123,217.56 : x
  2. Step 2: Convert to fraction form
    277,043.96/415,543.68 = 123,217.56/x
  3. Step 3: Cross multiply
    277,043.96x = 415,543.68 × 123,217.56
  4. Step 4: Simplify right side
    277,043.96x = 51,202,278,323.02
  5. Step 5: Solve for x
    x = 51,202,278,323.02/277,043.96
  6. Step 6: Final answer
    x = 184,816.44

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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.