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Finding the Fourth Proportional to 184,651.92, 254,851.92 and 109,205.28

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Solution

The fourth proportional to 184,651.92, 254,851.92 and 109,205.28 is: 150,722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,651.92 : 254,851.92 = 109,205.28 : x
  2. Step 2: Convert to fraction form
    184,651.92/254,851.92 = 109,205.28/x
  3. Step 3: Cross multiply
    184,651.92x = 254,851.92 × 109,205.28
  4. Step 4: Simplify right side
    184,651.92x = 27,831,175,282.14
  5. Step 5: Solve for x
    x = 27,831,175,282.14/184,651.92
  6. Step 6: Final answer
    x = 150,722.37

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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.