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Finding the Fourth Proportional to 186,195.70, 279,361.19 and 91,415.78

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Solution

The fourth proportional to 186,195.70, 279,361.19 and 91,415.78 is: 137,156.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,195.70 : 279,361.19 = 91,415.78 : x
  2. Step 2: Convert to fraction form
    186,195.70/279,361.19 = 91,415.78/x
  3. Step 3: Cross multiply
    186,195.70x = 279,361.19 × 91,415.78
  4. Step 4: Simplify right side
    186,195.70x = 25,538,021,085.58
  5. Step 5: Solve for x
    x = 25,538,021,085.58/186,195.70
  6. Step 6: Final answer
    x = 137,156.88

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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.