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Finding the Fourth Proportional to 149,924.32, 206,887.44 and 82,852

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Solution

The fourth proportional to 149,924.32, 206,887.44 and 82,852 is: 114,331.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,924.32 : 206,887.44 = 82,852 : x
  2. Step 2: Convert to fraction form
    149,924.32/206,887.44 = 82,852/x
  3. Step 3: Cross multiply
    149,924.32x = 206,887.44 × 82,852
  4. Step 4: Simplify right side
    149,924.32x = 17,141,038,178.88
  5. Step 5: Solve for x
    x = 17,141,038,178.88/149,924.32
  6. Step 6: Final answer
    x = 114,331.27

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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.