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Finding the Fourth Proportional to 186,863.30, 280,382.43 and 81,668.60

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Solution

The fourth proportional to 186,863.30, 280,382.43 and 81,668.60 is: 122,541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,863.30 : 280,382.43 = 81,668.60 : x
  2. Step 2: Convert to fraction form
    186,863.30/280,382.43 = 81,668.60/x
  3. Step 3: Cross multiply
    186,863.30x = 280,382.43 × 81,668.60
  4. Step 4: Simplify right side
    186,863.30x = 22,898,440,522.70
  5. Step 5: Solve for x
    x = 22,898,440,522.70/186,863.30
  6. Step 6: Final answer
    x = 122,541.13

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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.