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Finding the Fourth Proportional to 123,098.64, 184,649.49 and 44,212.86

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Solution

The fourth proportional to 123,098.64, 184,649.49 and 44,212.86 is: 66,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,098.64 : 184,649.49 = 44,212.86 : x
  2. Step 2: Convert to fraction form
    123,098.64/184,649.49 = 44,212.86/x
  3. Step 3: Cross multiply
    123,098.64x = 184,649.49 × 44,212.86
  4. Step 4: Simplify right side
    123,098.64x = 8,163,882,050.44
  5. Step 5: Solve for x
    x = 8,163,882,050.44/123,098.64
  6. Step 6: Final answer
    x = 66,319.84

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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.