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Finding the Fourth Proportional to 184,499.96, 254,611.21 and 102,833.48

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Solution

The fourth proportional to 184,499.96, 254,611.21 and 102,833.48 is: 141,910.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,499.96 : 254,611.21 = 102,833.48 : x
  2. Step 2: Convert to fraction form
    184,499.96/254,611.21 = 102,833.48/x
  3. Step 3: Cross multiply
    184,499.96x = 254,611.21 × 102,833.48
  4. Step 4: Simplify right side
    184,499.96x = 26,182,556,297.01
  5. Step 5: Solve for x
    x = 26,182,556,297.01/184,499.96
  6. Step 6: Final answer
    x = 141,910.90

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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.