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Finding the Fourth Proportional to 186,512.91, 257,379.77 and 105,940.19

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Solution

The fourth proportional to 186,512.91, 257,379.77 and 105,940.19 is: 146,192.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,512.91 : 257,379.77 = 105,940.19 : x
  2. Step 2: Convert to fraction form
    186,512.91/257,379.77 = 105,940.19/x
  3. Step 3: Cross multiply
    186,512.91x = 257,379.77 × 105,940.19
  4. Step 4: Simplify right side
    186,512.91x = 27,266,859,919.36
  5. Step 5: Solve for x
    x = 27,266,859,919.36/186,512.91
  6. Step 6: Final answer
    x = 146,192.88

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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.