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Finding the Fourth Proportional to 277,043.94, 415,543.70 and 123,217.56

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Solution

The fourth proportional to 277,043.94, 415,543.70 and 123,217.56 is: 184,816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,043.94 : 415,543.70 = 123,217.56 : x
  2. Step 2: Convert to fraction form
    277,043.94/415,543.70 = 123,217.56/x
  3. Step 3: Cross multiply
    277,043.94x = 415,543.70 × 123,217.56
  4. Step 4: Simplify right side
    277,043.94x = 51,202,280,787.37
  5. Step 5: Solve for x
    x = 51,202,280,787.37/277,043.94
  6. Step 6: Final answer
    x = 184,816.46

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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.