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Finding the Fourth Proportional to 164,548.86, 246,832.86 and 46,229.42

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Solution

The fourth proportional to 164,548.86, 246,832.86 and 46,229.42 is: 69,346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,548.86 : 246,832.86 = 46,229.42 : x
  2. Step 2: Convert to fraction form
    164,548.86/246,832.86 = 46,229.42/x
  3. Step 3: Cross multiply
    164,548.86x = 246,832.86 × 46,229.42
  4. Step 4: Simplify right side
    164,548.86x = 11,410,939,723.59
  5. Step 5: Solve for x
    x = 11,410,939,723.59/164,548.86
  6. Step 6: Final answer
    x = 69,346.82

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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.