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Finding the Fourth Proportional to 149,657.04, 206,525.70 and 82,589.04

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Solution

The fourth proportional to 149,657.04, 206,525.70 and 82,589.04 is: 113,972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,657.04 : 206,525.70 = 82,589.04 : x
  2. Step 2: Convert to fraction form
    149,657.04/206,525.70 = 82,589.04/x
  3. Step 3: Cross multiply
    149,657.04x = 206,525.70 × 82,589.04
  4. Step 4: Simplify right side
    149,657.04x = 17,056,759,298.33
  5. Step 5: Solve for x
    x = 17,056,759,298.33/149,657.04
  6. Step 6: Final answer
    x = 113,972.31

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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.