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Finding the Fourth Proportional to 184,992.25, 255,289.29 and 100,109.31

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Solution

The fourth proportional to 184,992.25, 255,289.29 and 100,109.31 is: 138,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,992.25 : 255,289.29 = 100,109.31 : x
  2. Step 2: Convert to fraction form
    184,992.25/255,289.29 = 100,109.31/x
  3. Step 3: Cross multiply
    184,992.25x = 255,289.29 × 100,109.31
  4. Step 4: Simplify right side
    184,992.25x = 25,556,834,672.29
  5. Step 5: Solve for x
    x = 25,556,834,672.29/184,992.25
  6. Step 6: Final answer
    x = 138,150.84

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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.