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Finding the Fourth Proportional to 207,620.86, 311,625.04 and 106,494.84

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Solution

The fourth proportional to 207,620.86, 311,625.04 and 106,494.84 is: 159,841.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,620.86 : 311,625.04 = 106,494.84 : x
  2. Step 2: Convert to fraction form
    207,620.86/311,625.04 = 106,494.84/x
  3. Step 3: Cross multiply
    207,620.86x = 311,625.04 × 106,494.84
  4. Step 4: Simplify right side
    207,620.86x = 33,186,458,774.79
  5. Step 5: Solve for x
    x = 33,186,458,774.79/207,620.86
  6. Step 6: Final answer
    x = 159,841.64

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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.