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Finding the Fourth Proportional to 184,067.80, 276,101.70 and 164,822.20

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Solution

The fourth proportional to 184,067.80, 276,101.70 and 164,822.20 is: 247,233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,067.80 : 276,101.70 = 164,822.20 : x
  2. Step 2: Convert to fraction form
    184,067.80/276,101.70 = 164,822.20/x
  3. Step 3: Cross multiply
    184,067.80x = 276,101.70 × 164,822.20
  4. Step 4: Simplify right side
    184,067.80x = 45,507,689,617.74
  5. Step 5: Solve for x
    x = 45,507,689,617.74/184,067.80
  6. Step 6: Final answer
    x = 247,233.30

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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.