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Finding the Fourth Proportional to 218,821.78, 301,974.11 and 118,219.78

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Solution

The fourth proportional to 218,821.78, 301,974.11 and 118,219.78 is: 163,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,821.78 : 301,974.11 = 118,219.78 : x
  2. Step 2: Convert to fraction form
    218,821.78/301,974.11 = 118,219.78/x
  3. Step 3: Cross multiply
    218,821.78x = 301,974.11 × 118,219.78
  4. Step 4: Simplify right side
    218,821.78x = 35,699,312,849.90
  5. Step 5: Solve for x
    x = 35,699,312,849.90/218,821.78
  6. Step 6: Final answer
    x = 163,143.33

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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.