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Finding the Fourth Proportional to 227,335.98, 313,723 and 131,898.54

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Solution

The fourth proportional to 227,335.98, 313,723 and 131,898.54 is: 182,019.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,335.98 : 313,723 = 131,898.54 : x
  2. Step 2: Convert to fraction form
    227,335.98/313,723 = 131,898.54/x
  3. Step 3: Cross multiply
    227,335.98x = 313,723 × 131,898.54
  4. Step 4: Simplify right side
    227,335.98x = 41,379,605,664.42
  5. Step 5: Solve for x
    x = 41,379,605,664.42/227,335.98
  6. Step 6: Final answer
    x = 182,019.61

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1.5x scale

Why These Related Problems?

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