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Finding the Fourth Proportional to 227,783.72, 341,676.80 and 149,394.36

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Solution

The fourth proportional to 227,783.72, 341,676.80 and 149,394.36 is: 224,092.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,783.72 : 341,676.80 = 149,394.36 : x
  2. Step 2: Convert to fraction form
    227,783.72/341,676.80 = 149,394.36/x
  3. Step 3: Cross multiply
    227,783.72x = 341,676.80 × 149,394.36
  4. Step 4: Simplify right side
    227,783.72x = 51,044,586,862.85
  5. Step 5: Solve for x
    x = 51,044,586,862.85/227,783.72
  6. Step 6: Final answer
    x = 224,092.34

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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.