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Finding the Fourth Proportional to 208,299.35, 312,449.48 and 75,273.56

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Solution

The fourth proportional to 208,299.35, 312,449.48 and 75,273.56 is: 112,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,299.35 : 312,449.48 = 75,273.56 : x
  2. Step 2: Convert to fraction form
    208,299.35/312,449.48 = 75,273.56/x
  3. Step 3: Cross multiply
    208,299.35x = 312,449.48 × 75,273.56
  4. Step 4: Simplify right side
    208,299.35x = 23,519,182,741.13
  5. Step 5: Solve for x
    x = 23,519,182,741.13/208,299.35
  6. Step 6: Final answer
    x = 112,910.50

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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.