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Finding the Fourth Proportional to 184,127.36, 276,249.28 and 65,796

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Solution

The fourth proportional to 184,127.36, 276,249.28 and 65,796 is: 98,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,127.36 : 276,249.28 = 65,796 : x
  2. Step 2: Convert to fraction form
    184,127.36/276,249.28 = 65,796/x
  3. Step 3: Cross multiply
    184,127.36x = 276,249.28 × 65,796
  4. Step 4: Simplify right side
    184,127.36x = 18,176,097,626.88
  5. Step 5: Solve for x
    x = 18,176,097,626.88/184,127.36
  6. Step 6: Final answer
    x = 98,714.81

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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.