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Finding the Fourth Proportional to 186,791.59, 280,186.26 and 86,896.72

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Solution

The fourth proportional to 186,791.59, 280,186.26 and 86,896.72 is: 130,344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,791.59 : 280,186.26 = 86,896.72 : x
  2. Step 2: Convert to fraction form
    186,791.59/280,186.26 = 86,896.72/x
  3. Step 3: Cross multiply
    186,791.59x = 280,186.26 × 86,896.72
  4. Step 4: Simplify right side
    186,791.59x = 24,347,266,983.07
  5. Step 5: Solve for x
    x = 24,347,266,983.07/186,791.59
  6. Step 6: Final answer
    x = 130,344.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.