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Finding the Fourth Proportional to 184,896.96, 255,157.74 and 100,013.82

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Solution

The fourth proportional to 184,896.96, 255,157.74 and 100,013.82 is: 138,019.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,896.96 : 255,157.74 = 100,013.82 : x
  2. Step 2: Convert to fraction form
    184,896.96/255,157.74 = 100,013.82/x
  3. Step 3: Cross multiply
    184,896.96x = 255,157.74 × 100,013.82
  4. Step 4: Simplify right side
    184,896.96x = 25,519,300,279.97
  5. Step 5: Solve for x
    x = 25,519,300,279.97/184,896.96
  6. Step 6: Final answer
    x = 138,019.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.