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Finding the Fourth Proportional to 149,998.78, 206,989.86 and 82,003.12

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Solution

The fourth proportional to 149,998.78, 206,989.86 and 82,003.12 is: 113,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,998.78 : 206,989.86 = 82,003.12 : x
  2. Step 2: Convert to fraction form
    149,998.78/206,989.86 = 82,003.12/x
  3. Step 3: Cross multiply
    149,998.78x = 206,989.86 × 82,003.12
  4. Step 4: Simplify right side
    149,998.78x = 16,973,814,328.36
  5. Step 5: Solve for x
    x = 16,973,814,328.36/149,998.78
  6. Step 6: Final answer
    x = 113,159.68

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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.