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Finding the Fourth Proportional to 186,791.97, 257,811.31 and 114,207.27

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Solution

The fourth proportional to 186,791.97, 257,811.31 and 114,207.27 is: 157,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,791.97 : 257,811.31 = 114,207.27 : x
  2. Step 2: Convert to fraction form
    186,791.97/257,811.31 = 114,207.27/x
  3. Step 3: Cross multiply
    186,791.97x = 257,811.31 × 114,207.27
  4. Step 4: Simplify right side
    186,791.97x = 29,443,924,423.77
  5. Step 5: Solve for x
    x = 29,443,924,423.77/186,791.97
  6. Step 6: Final answer
    x = 157,629.49

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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.