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Finding the Fourth Proportional to 155,755.35, 214,942.23 and 84,135.34

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Solution

The fourth proportional to 155,755.35, 214,942.23 and 84,135.34 is: 116,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,755.35 : 214,942.23 = 84,135.34 : x
  2. Step 2: Convert to fraction form
    155,755.35/214,942.23 = 84,135.34/x
  3. Step 3: Cross multiply
    155,755.35x = 214,942.23 × 84,135.34
  4. Step 4: Simplify right side
    155,755.35x = 18,084,237,601.41
  5. Step 5: Solve for x
    x = 18,084,237,601.41/155,755.35
  6. Step 6: Final answer
    x = 116,106.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.