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Finding the Fourth Proportional to 235,486.62, 353,246.13 and 77,825.79

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Solution

The fourth proportional to 235,486.62, 353,246.13 and 77,825.79 is: 116,744.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,486.62 : 353,246.13 = 77,825.79 : x
  2. Step 2: Convert to fraction form
    235,486.62/353,246.13 = 77,825.79/x
  3. Step 3: Cross multiply
    235,486.62x = 353,246.13 × 77,825.79
  4. Step 4: Simplify right side
    235,486.62x = 27,491,659,131.69
  5. Step 5: Solve for x
    x = 27,491,659,131.69/235,486.62
  6. Step 6: Final answer
    x = 116,744.04

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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.