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Finding the Fourth Proportional to 184,978.26, 255,270.66 and 100,095.31

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Solution

The fourth proportional to 184,978.26, 255,270.66 and 100,095.31 is: 138,131.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,978.26 : 255,270.66 = 100,095.31 : x
  2. Step 2: Convert to fraction form
    184,978.26/255,270.66 = 100,095.31/x
  3. Step 3: Cross multiply
    184,978.26x = 255,270.66 × 100,095.31
  4. Step 4: Simplify right side
    184,978.26x = 25,551,395,846.60
  5. Step 5: Solve for x
    x = 25,551,395,846.60/184,978.26
  6. Step 6: Final answer
    x = 138,131.89

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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.