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Finding the Fourth Proportional to 150,911.91, 208,262.34 and 82,930.77

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Solution

The fourth proportional to 150,911.91, 208,262.34 and 82,930.77 is: 114,446.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,911.91 : 208,262.34 = 82,930.77 : x
  2. Step 2: Convert to fraction form
    150,911.91/208,262.34 = 82,930.77/x
  3. Step 3: Cross multiply
    150,911.91x = 208,262.34 × 82,930.77
  4. Step 4: Simplify right side
    150,911.91x = 17,271,356,218.20
  5. Step 5: Solve for x
    x = 17,271,356,218.20/150,911.91
  6. Step 6: Final answer
    x = 114,446.61

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1.5x scale

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.