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Finding the Fourth Proportional to 277,418.70, 415,793.43 and 135,050.58

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Solution

The fourth proportional to 277,418.70, 415,793.43 and 135,050.58 is: 202,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,418.70 : 415,793.43 = 135,050.58 : x
  2. Step 2: Convert to fraction form
    277,418.70/415,793.43 = 135,050.58/x
  3. Step 3: Cross multiply
    277,418.70x = 415,793.43 × 135,050.58
  4. Step 4: Simplify right side
    277,418.70x = 56,153,143,881.69
  5. Step 5: Solve for x
    x = 56,153,143,881.69/277,418.70
  6. Step 6: Final answer
    x = 202,412.97

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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.