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Finding the Fourth Proportional to 184,446.30, 276,669.45 and 105,714.30

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Solution

The fourth proportional to 184,446.30, 276,669.45 and 105,714.30 is: 158,571.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,446.30 : 276,669.45 = 105,714.30 : x
  2. Step 2: Convert to fraction form
    184,446.30/276,669.45 = 105,714.30/x
  3. Step 3: Cross multiply
    184,446.30x = 276,669.45 × 105,714.30
  4. Step 4: Simplify right side
    184,446.30x = 29,247,917,238.14
  5. Step 5: Solve for x
    x = 29,247,917,238.14/184,446.30
  6. Step 6: Final answer
    x = 158,571.45

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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.