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Finding the Fourth Proportional to 184,324.32, 276,491.76 and 51,214.32

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Solution

The fourth proportional to 184,324.32, 276,491.76 and 51,214.32 is: 76,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,324.32 : 276,491.76 = 51,214.32 : x
  2. Step 2: Convert to fraction form
    184,324.32/276,491.76 = 51,214.32/x
  3. Step 3: Cross multiply
    184,324.32x = 276,491.76 × 51,214.32
  4. Step 4: Simplify right side
    184,324.32x = 14,160,337,474.00
  5. Step 5: Solve for x
    x = 14,160,337,474.00/184,324.32
  6. Step 6: Final answer
    x = 76,822.95

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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.