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Finding the Fourth Proportional to 149,472.72, 206,271 and 82,404.72

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Solution

The fourth proportional to 149,472.72, 206,271 and 82,404.72 is: 113,717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,472.72 : 206,271 = 82,404.72 : x
  2. Step 2: Convert to fraction form
    149,472.72/206,271 = 82,404.72/x
  3. Step 3: Cross multiply
    149,472.72x = 206,271 × 82,404.72
  4. Step 4: Simplify right side
    149,472.72x = 16,997,703,999.12
  5. Step 5: Solve for x
    x = 16,997,703,999.12/149,472.72
  6. Step 6: Final answer
    x = 113,717.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.