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Finding the Fourth Proportional to 150,596.61, 207,824.92 and 82,613.71

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Solution

The fourth proportional to 150,596.61, 207,824.92 and 82,613.71 is: 114,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,596.61 : 207,824.92 = 82,613.71 : x
  2. Step 2: Convert to fraction form
    150,596.61/207,824.92 = 82,613.71/x
  3. Step 3: Cross multiply
    150,596.61x = 207,824.92 × 82,613.71
  4. Step 4: Simplify right side
    150,596.61x = 17,169,187,671.65
  5. Step 5: Solve for x
    x = 17,169,187,671.65/150,596.61
  6. Step 6: Final answer
    x = 114,007.80

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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.