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Finding the Fourth Proportional to 186,446.26, 257,286.99 and 105,863.23

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Solution

The fourth proportional to 186,446.26, 257,286.99 and 105,863.23 is: 146,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,446.26 : 257,286.99 = 105,863.23 : x
  2. Step 2: Convert to fraction form
    186,446.26/257,286.99 = 105,863.23/x
  3. Step 3: Cross multiply
    186,446.26x = 257,286.99 × 105,863.23
  4. Step 4: Simplify right side
    186,446.26x = 27,237,231,798.38
  5. Step 5: Solve for x
    x = 27,237,231,798.38/186,446.26
  6. Step 6: Final answer
    x = 146,086.23

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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.