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Finding the Fourth Proportional to 277,092.02, 415,793.73 and 150,741.10

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Solution

The fourth proportional to 277,092.02, 415,793.73 and 150,741.10 is: 226,196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,092.02 : 415,793.73 = 150,741.10 : x
  2. Step 2: Convert to fraction form
    277,092.02/415,793.73 = 150,741.10/x
  3. Step 3: Cross multiply
    277,092.02x = 415,793.73 × 150,741.10
  4. Step 4: Simplify right side
    277,092.02x = 62,677,204,233.30
  5. Step 5: Solve for x
    x = 62,677,204,233.30/277,092.02
  6. Step 6: Final answer
    x = 226,196.35

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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.