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Finding the Fourth Proportional to 263,167.92, 394,810.20 and 122,850

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Solution

The fourth proportional to 263,167.92, 394,810.20 and 122,850 is: 184,302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,167.92 : 394,810.20 = 122,850 : x
  2. Step 2: Convert to fraction form
    263,167.92/394,810.20 = 122,850/x
  3. Step 3: Cross multiply
    263,167.92x = 394,810.20 × 122,850
  4. Step 4: Simplify right side
    263,167.92x = 48,502,433,070
  5. Step 5: Solve for x
    x = 48,502,433,070/263,167.92
  6. Step 6: Final answer
    x = 184,302.22

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