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Finding the Fourth Proportional to 206,746.26, 285,340.70 and 126,220.46

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Solution

The fourth proportional to 206,746.26, 285,340.70 and 126,220.46 is: 174,203.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,746.26 : 285,340.70 = 126,220.46 : x
  2. Step 2: Convert to fraction form
    206,746.26/285,340.70 = 126,220.46/x
  3. Step 3: Cross multiply
    206,746.26x = 285,340.70 × 126,220.46
  4. Step 4: Simplify right side
    206,746.26x = 36,015,834,410.72
  5. Step 5: Solve for x
    x = 36,015,834,410.72/206,746.26
  6. Step 6: Final answer
    x = 174,203.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.