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Finding the Fourth Proportional to 178,766.92, 268,136.42 and 84,017.80

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Solution

The fourth proportional to 178,766.92, 268,136.42 and 84,017.80 is: 126,020.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,766.92 : 268,136.42 = 84,017.80 : x
  2. Step 2: Convert to fraction form
    178,766.92/268,136.42 = 84,017.80/x
  3. Step 3: Cross multiply
    178,766.92x = 268,136.42 × 84,017.80
  4. Step 4: Simplify right side
    178,766.92x = 22,528,232,108.28
  5. Step 5: Solve for x
    x = 22,528,232,108.28/178,766.92
  6. Step 6: Final answer
    x = 126,020.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.