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Finding the Fourth Proportional to 186,781, 257,757.78 and 119,713

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Solution

The fourth proportional to 186,781, 257,757.78 and 119,713 is: 165,203.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,781 : 257,757.78 = 119,713 : x
  2. Step 2: Convert to fraction form
    186,781/257,757.78 = 119,713/x
  3. Step 3: Cross multiply
    186,781x = 257,757.78 × 119,713
  4. Step 4: Simplify right side
    186,781x = 30,856,957,117.14
  5. Step 5: Solve for x
    x = 30,856,957,117.14/186,781
  6. Step 6: Final answer
    x = 165,203.94

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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.