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Finding the Fourth Proportional to 307,494.86, 461,245.38 and 107,820.05

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Solution

The fourth proportional to 307,494.86, 461,245.38 and 107,820.05 is: 161,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,494.86 : 461,245.38 = 107,820.05 : x
  2. Step 2: Convert to fraction form
    307,494.86/461,245.38 = 107,820.05/x
  3. Step 3: Cross multiply
    307,494.86x = 461,245.38 × 107,820.05
  4. Step 4: Simplify right side
    307,494.86x = 49,731,499,933.87
  5. Step 5: Solve for x
    x = 49,731,499,933.87/307,494.86
  6. Step 6: Final answer
    x = 161,731.16

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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.