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Finding the Fourth Proportional to 164,249.60, 246,210.24 and 75,464.96

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Solution

The fourth proportional to 164,249.60, 246,210.24 and 75,464.96 is: 113,122.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,249.60 : 246,210.24 = 75,464.96 : x
  2. Step 2: Convert to fraction form
    164,249.60/246,210.24 = 75,464.96/x
  3. Step 3: Cross multiply
    164,249.60x = 246,210.24 × 75,464.96
  4. Step 4: Simplify right side
    164,249.60x = 18,580,245,913.19
  5. Step 5: Solve for x
    x = 18,580,245,913.19/164,249.60
  6. Step 6: Final answer
    x = 113,122.02

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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.