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Finding the Fourth Proportional to 150,512.86, 207,709.76 and 82,529.67

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Solution

The fourth proportional to 150,512.86, 207,709.76 and 82,529.67 is: 113,892.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,512.86 : 207,709.76 = 82,529.67 : x
  2. Step 2: Convert to fraction form
    150,512.86/207,709.76 = 82,529.67/x
  3. Step 3: Cross multiply
    150,512.86x = 207,709.76 × 82,529.67
  4. Step 4: Simplify right side
    150,512.86x = 17,142,216,497.38
  5. Step 5: Solve for x
    x = 17,142,216,497.38/150,512.86
  6. Step 6: Final answer
    x = 113,892.04

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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.