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Finding the Fourth Proportional to 206,683.20, 285,225.76 and 116,058.80

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Solution

The fourth proportional to 206,683.20, 285,225.76 and 116,058.80 is: 160,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,683.20 : 285,225.76 = 116,058.80 : x
  2. Step 2: Convert to fraction form
    206,683.20/285,225.76 = 116,058.80/x
  3. Step 3: Cross multiply
    206,683.20x = 285,225.76 × 116,058.80
  4. Step 4: Simplify right side
    206,683.20x = 33,102,959,434.69
  5. Step 5: Solve for x
    x = 33,102,959,434.69/206,683.20
  6. Step 6: Final answer
    x = 160,162.80

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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.