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Finding the Fourth Proportional to 184,023.28, 276,093.24 and 65,692

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Solution

The fourth proportional to 184,023.28, 276,093.24 and 65,692 is: 98,558.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,023.28 : 276,093.24 = 65,692 : x
  2. Step 2: Convert to fraction form
    184,023.28/276,093.24 = 65,692/x
  3. Step 3: Cross multiply
    184,023.28x = 276,093.24 × 65,692
  4. Step 4: Simplify right side
    184,023.28x = 18,137,117,122.08
  5. Step 5: Solve for x
    x = 18,137,117,122.08/184,023.28
  6. Step 6: Final answer
    x = 98,558.82

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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.