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Finding the Fourth Proportional to 207,458.06, 311,219.91 and 74,335.37

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Solution

The fourth proportional to 207,458.06, 311,219.91 and 74,335.37 is: 111,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,458.06 : 311,219.91 = 74,335.37 : x
  2. Step 2: Convert to fraction form
    207,458.06/311,219.91 = 74,335.37/x
  3. Step 3: Cross multiply
    207,458.06x = 311,219.91 × 74,335.37
  4. Step 4: Simplify right side
    207,458.06x = 23,134,645,605.12
  5. Step 5: Solve for x
    x = 23,134,645,605.12/207,458.06
  6. Step 6: Final answer
    x = 111,514.81

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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.