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Finding the Fourth Proportional to 207,494.84, 311,283.12 and 74,339.48

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Solution

The fourth proportional to 207,494.84, 311,283.12 and 74,339.48 is: 111,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,494.84 : 311,283.12 = 74,339.48 : x
  2. Step 2: Convert to fraction form
    207,494.84/311,283.12 = 74,339.48/x
  3. Step 3: Cross multiply
    207,494.84x = 311,283.12 × 74,339.48
  4. Step 4: Simplify right side
    207,494.84x = 23,140,625,273.58
  5. Step 5: Solve for x
    x = 23,140,625,273.58/207,494.84
  6. Step 6: Final answer
    x = 111,523.86

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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.