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Finding the Fourth Proportional to 206,683.29, 285,220.44 and 116,037

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Solution

The fourth proportional to 206,683.29, 285,220.44 and 116,037 is: 160,129.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,683.29 : 285,220.44 = 116,037 : x
  2. Step 2: Convert to fraction form
    206,683.29/285,220.44 = 116,037/x
  3. Step 3: Cross multiply
    206,683.29x = 285,220.44 × 116,037
  4. Step 4: Simplify right side
    206,683.29x = 33,096,124,196.28
  5. Step 5: Solve for x
    x = 33,096,124,196.28/206,683.29
  6. Step 6: Final answer
    x = 160,129.66

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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.