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Finding the Fourth Proportional to 218,821.75, 301,974.02 and 118,219.75

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Solution

The fourth proportional to 218,821.75, 301,974.02 and 118,219.75 is: 163,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,821.75 : 301,974.02 = 118,219.75 : x
  2. Step 2: Convert to fraction form
    218,821.75/301,974.02 = 118,219.75/x
  3. Step 3: Cross multiply
    218,821.75x = 301,974.02 × 118,219.75
  4. Step 4: Simplify right side
    218,821.75x = 35,699,293,150.90
  5. Step 5: Solve for x
    x = 35,699,293,150.90/218,821.75
  6. Step 6: Final answer
    x = 163,143.26

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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.