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Finding the Fourth Proportional to 150,651.74, 207,898.83 and 82,669.86

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Solution

The fourth proportional to 150,651.74, 207,898.83 and 82,669.86 is: 114,084.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,651.74 : 207,898.83 = 82,669.86 : x
  2. Step 2: Convert to fraction form
    150,651.74/207,898.83 = 82,669.86/x
  3. Step 3: Cross multiply
    150,651.74x = 207,898.83 × 82,669.86
  4. Step 4: Simplify right side
    150,651.74x = 17,186,967,170.26
  5. Step 5: Solve for x
    x = 17,186,967,170.26/150,651.74
  6. Step 6: Final answer
    x = 114,084.09

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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.