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Finding the Fourth Proportional to 186,997.70, 258,077.14 and 115,375.88

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Solution

The fourth proportional to 186,997.70, 258,077.14 and 115,375.88 is: 159,231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,997.70 : 258,077.14 = 115,375.88 : x
  2. Step 2: Convert to fraction form
    186,997.70/258,077.14 = 115,375.88/x
  3. Step 3: Cross multiply
    186,997.70x = 258,077.14 × 115,375.88
  4. Step 4: Simplify right side
    186,997.70x = 29,775,877,135.38
  5. Step 5: Solve for x
    x = 29,775,877,135.38/186,997.70
  6. Step 6: Final answer
    x = 159,231.25

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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.