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Finding the Fourth Proportional to 184,649.92, 276,920.20 and 51,498.07

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Solution

The fourth proportional to 184,649.92, 276,920.20 and 51,498.07 is: 77,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,649.92 : 276,920.20 = 51,498.07 : x
  2. Step 2: Convert to fraction form
    184,649.92/276,920.20 = 51,498.07/x
  3. Step 3: Cross multiply
    184,649.92x = 276,920.20 × 51,498.07
  4. Step 4: Simplify right side
    184,649.92x = 14,260,855,844.01
  5. Step 5: Solve for x
    x = 14,260,855,844.01/184,649.92
  6. Step 6: Final answer
    x = 77,231.85

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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.