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Finding the Fourth Proportional to 105,227.91, 145,262.31 and 67,039.82

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Solution

The fourth proportional to 105,227.91, 145,262.31 and 67,039.82 is: 92,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,227.91 : 145,262.31 = 67,039.82 : x
  2. Step 2: Convert to fraction form
    105,227.91/145,262.31 = 67,039.82/x
  3. Step 3: Cross multiply
    105,227.91x = 145,262.31 × 67,039.82
  4. Step 4: Simplify right side
    105,227.91x = 9,738,358,388.87
  5. Step 5: Solve for x
    x = 9,738,358,388.87/105,227.91
  6. Step 6: Final answer
    x = 92,545.39

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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.