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Finding the Fourth Proportional to 186,519.78, 279,888.21 and 78,441.38

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Solution

The fourth proportional to 186,519.78, 279,888.21 and 78,441.38 is: 117,707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,519.78 : 279,888.21 = 78,441.38 : x
  2. Step 2: Convert to fraction form
    186,519.78/279,888.21 = 78,441.38/x
  3. Step 3: Cross multiply
    186,519.78x = 279,888.21 × 78,441.38
  4. Step 4: Simplify right side
    186,519.78x = 21,954,816,038.69
  5. Step 5: Solve for x
    x = 21,954,816,038.69/186,519.78
  6. Step 6: Final answer
    x = 117,707.71

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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.