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Finding the Fourth Proportional to 184,309.40, 276,464.21 and 51,189.64

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Solution

The fourth proportional to 184,309.40, 276,464.21 and 51,189.64 is: 76,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,309.40 : 276,464.21 = 51,189.64 : x
  2. Step 2: Convert to fraction form
    184,309.40/276,464.21 = 51,189.64/x
  3. Step 3: Cross multiply
    184,309.40x = 276,464.21 × 51,189.64
  4. Step 4: Simplify right side
    184,309.40x = 14,152,102,435.68
  5. Step 5: Solve for x
    x = 14,152,102,435.68/184,309.40
  6. Step 6: Final answer
    x = 76,784.48

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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.