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Finding the Fourth Proportional to 186,195.92, 279,075.11 and 86,144.72

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Solution

The fourth proportional to 186,195.92, 279,075.11 and 86,144.72 is: 129,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,195.92 : 279,075.11 = 86,144.72 : x
  2. Step 2: Convert to fraction form
    186,195.92/279,075.11 = 86,144.72/x
  3. Step 3: Cross multiply
    186,195.92x = 279,075.11 × 86,144.72
  4. Step 4: Simplify right side
    186,195.92x = 24,040,845,383.82
  5. Step 5: Solve for x
    x = 24,040,845,383.82/186,195.92
  6. Step 6: Final answer
    x = 129,115.86

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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.