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Finding the Fourth Proportional to 206,820.18, 285,404.31 and 126,382.32

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Solution

The fourth proportional to 206,820.18, 285,404.31 and 126,382.32 is: 174,403.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,820.18 : 285,404.31 = 126,382.32 : x
  2. Step 2: Convert to fraction form
    206,820.18/285,404.31 = 126,382.32/x
  3. Step 3: Cross multiply
    206,820.18x = 285,404.31 × 126,382.32
  4. Step 4: Simplify right side
    206,820.18x = 36,070,058,835.80
  5. Step 5: Solve for x
    x = 36,070,058,835.80/206,820.18
  6. Step 6: Final answer
    x = 174,403.00

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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.