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Finding the Fourth Proportional to 277,176.96, 415,921.32 and 150,826.38

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Solution

The fourth proportional to 277,176.96, 415,921.32 and 150,826.38 is: 226,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,176.96 : 415,921.32 = 150,826.38 : x
  2. Step 2: Convert to fraction form
    277,176.96/415,921.32 = 150,826.38/x
  3. Step 3: Cross multiply
    277,176.96x = 415,921.32 × 150,826.38
  4. Step 4: Simplify right side
    277,176.96x = 62,731,907,060.42
  5. Step 5: Solve for x
    x = 62,731,907,060.42/277,176.96
  6. Step 6: Final answer
    x = 226,324.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.