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Finding the Fourth Proportional to 184,978.01, 255,270.33 and 100,095.08

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Solution

The fourth proportional to 184,978.01, 255,270.33 and 100,095.08 is: 138,131.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,978.01 : 255,270.33 = 100,095.08 : x
  2. Step 2: Convert to fraction form
    184,978.01/255,270.33 = 100,095.08/x
  3. Step 3: Cross multiply
    184,978.01x = 255,270.33 × 100,095.08
  4. Step 4: Simplify right side
    184,978.01x = 25,551,302,826.62
  5. Step 5: Solve for x
    x = 25,551,302,826.62/184,978.01
  6. Step 6: Final answer
    x = 138,131.57

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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.