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Finding the Fourth Proportional to 263,875.89, 394,879.50 and 164,083.08

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Solution

The fourth proportional to 263,875.89, 394,879.50 and 164,083.08 is: 245,543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,875.89 : 394,879.50 = 164,083.08 : x
  2. Step 2: Convert to fraction form
    263,875.89/394,879.50 = 164,083.08/x
  3. Step 3: Cross multiply
    263,875.89x = 394,879.50 × 164,083.08
  4. Step 4: Simplify right side
    263,875.89x = 64,793,044,588.86
  5. Step 5: Solve for x
    x = 64,793,044,588.86/263,875.89
  6. Step 6: Final answer
    x = 245,543.63

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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.