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Finding the Fourth Proportional to 150,596.86, 207,825.27 and 82,613.97

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Solution

The fourth proportional to 150,596.86, 207,825.27 and 82,613.97 is: 114,008.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,596.86 : 207,825.27 = 82,613.97 : x
  2. Step 2: Convert to fraction form
    150,596.86/207,825.27 = 82,613.97/x
  3. Step 3: Cross multiply
    150,596.86x = 207,825.27 × 82,613.97
  4. Step 4: Simplify right side
    150,596.86x = 17,169,270,621.02
  5. Step 5: Solve for x
    x = 17,169,270,621.02/150,596.86
  6. Step 6: Final answer
    x = 114,008.16

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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.