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Finding the Fourth Proportional to 186,451.26, 257,293.92 and 105,868.26

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Solution

The fourth proportional to 186,451.26, 257,293.92 and 105,868.26 is: 146,093.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,451.26 : 257,293.92 = 105,868.26 : x
  2. Step 2: Convert to fraction form
    186,451.26/257,293.92 = 105,868.26/x
  3. Step 3: Cross multiply
    186,451.26x = 257,293.92 × 105,868.26
  4. Step 4: Simplify right side
    186,451.26x = 27,239,259,618.98
  5. Step 5: Solve for x
    x = 27,239,259,618.98/186,451.26
  6. Step 6: Final answer
    x = 146,093.19

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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.