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Finding the Fourth Proportional to 218,822.75, 301,975.41 and 118,220.75

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Solution

The fourth proportional to 218,822.75, 301,975.41 and 118,220.75 is: 163,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,822.75 : 301,975.41 = 118,220.75 : x
  2. Step 2: Convert to fraction form
    218,822.75/301,975.41 = 118,220.75/x
  3. Step 3: Cross multiply
    218,822.75x = 301,975.41 × 118,220.75
  4. Step 4: Simplify right side
    218,822.75x = 35,699,759,451.76
  5. Step 5: Solve for x
    x = 35,699,759,451.76/218,822.75
  6. Step 6: Final answer
    x = 163,144.64

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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.