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Finding the Fourth Proportional to 208,778.43, 313,389.09 and 184,917.63

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Solution

The fourth proportional to 208,778.43, 313,389.09 and 184,917.63 is: 277,572.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,778.43 : 313,389.09 = 184,917.63 : x
  2. Step 2: Convert to fraction form
    208,778.43/313,389.09 = 184,917.63/x
  3. Step 3: Cross multiply
    208,778.43x = 313,389.09 × 184,917.63
  4. Step 4: Simplify right side
    208,778.43x = 57,951,167,790.66
  5. Step 5: Solve for x
    x = 57,951,167,790.66/208,778.43
  6. Step 6: Final answer
    x = 277,572.58

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1.5x scale

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.