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Finding the Fourth Proportional to 206,166.92, 284,388.18 and 130,584.20

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Solution

The fourth proportional to 206,166.92, 284,388.18 and 130,584.20 is: 180,128.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,166.92 : 284,388.18 = 130,584.20 : x
  2. Step 2: Convert to fraction form
    206,166.92/284,388.18 = 130,584.20/x
  3. Step 3: Cross multiply
    206,166.92x = 284,388.18 × 130,584.20
  4. Step 4: Simplify right side
    206,166.92x = 37,136,602,974.76
  5. Step 5: Solve for x
    x = 37,136,602,974.76/206,166.92
  6. Step 6: Final answer
    x = 180,128.81

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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.