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Finding the Fourth Proportional to 262,169.46, 361,824.63 and 149,009.22

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Solution

The fourth proportional to 262,169.46, 361,824.63 and 149,009.22 is: 205,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,169.46 : 361,824.63 = 149,009.22 : x
  2. Step 2: Convert to fraction form
    262,169.46/361,824.63 = 149,009.22/x
  3. Step 3: Cross multiply
    262,169.46x = 361,824.63 × 149,009.22
  4. Step 4: Simplify right side
    262,169.46x = 53,915,205,893.09
  5. Step 5: Solve for x
    x = 53,915,205,893.09/262,169.46
  6. Step 6: Final answer
    x = 205,650.22

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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.