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Finding the Fourth Proportional to 206,542.95, 285,211.02 and 129,151.23

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Solution

The fourth proportional to 206,542.95, 285,211.02 and 129,151.23 is: 178,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,542.95 : 285,211.02 = 129,151.23 : x
  2. Step 2: Convert to fraction form
    206,542.95/285,211.02 = 129,151.23/x
  3. Step 3: Cross multiply
    206,542.95x = 285,211.02 × 129,151.23
  4. Step 4: Simplify right side
    206,542.95x = 36,835,353,457.33
  5. Step 5: Solve for x
    x = 36,835,353,457.33/206,542.95
  6. Step 6: Final answer
    x = 178,342.35

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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.