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Finding the Fourth Proportional to 155,781.09, 214,978.01 and 84,161.07

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Solution

The fourth proportional to 155,781.09, 214,978.01 and 84,161.07 is: 116,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,781.09 : 214,978.01 = 84,161.07 : x
  2. Step 2: Convert to fraction form
    155,781.09/214,978.01 = 84,161.07/x
  3. Step 3: Cross multiply
    155,781.09x = 214,978.01 × 84,161.07
  4. Step 4: Simplify right side
    155,781.09x = 18,092,778,927.27
  5. Step 5: Solve for x
    x = 18,092,778,927.27/155,781.09
  6. Step 6: Final answer
    x = 116,142.33

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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.