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Finding the Fourth Proportional to 184,910.54, 277,403.51 and 83,659.97

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Solution

The fourth proportional to 184,910.54, 277,403.51 and 83,659.97 is: 125,507.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,910.54 : 277,403.51 = 83,659.97 : x
  2. Step 2: Convert to fraction form
    184,910.54/277,403.51 = 83,659.97/x
  3. Step 3: Cross multiply
    184,910.54x = 277,403.51 × 83,659.97
  4. Step 4: Simplify right side
    184,910.54x = 23,207,567,519.18
  5. Step 5: Solve for x
    x = 23,207,567,519.18/184,910.54
  6. Step 6: Final answer
    x = 125,507.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.