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Finding the Fourth Proportional to 150,736.77, 208,024.25 and 82,753.26

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Solution

The fourth proportional to 150,736.77, 208,024.25 and 82,753.26 is: 114,203.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,736.77 : 208,024.25 = 82,753.26 : x
  2. Step 2: Convert to fraction form
    150,736.77/208,024.25 = 82,753.26/x
  3. Step 3: Cross multiply
    150,736.77x = 208,024.25 × 82,753.26
  4. Step 4: Simplify right side
    150,736.77x = 17,214,684,432.79
  5. Step 5: Solve for x
    x = 17,214,684,432.79/150,736.77
  6. Step 6: Final answer
    x = 114,203.62

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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.