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Finding the Fourth Proportional to 184,989.25, 255,287 and 100,108.14

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Solution

The fourth proportional to 184,989.25, 255,287 and 100,108.14 is: 138,150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,989.25 : 255,287 = 100,108.14 : x
  2. Step 2: Convert to fraction form
    184,989.25/255,287 = 100,108.14/x
  3. Step 3: Cross multiply
    184,989.25x = 255,287 × 100,108.14
  4. Step 4: Simplify right side
    184,989.25x = 25,556,306,736.18
  5. Step 5: Solve for x
    x = 25,556,306,736.18/184,989.25
  6. Step 6: Final answer
    x = 138,150.23

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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.