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Finding the Fourth Proportional to 204,559.40, 306,693.30 and 78,150.80

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Solution

The fourth proportional to 204,559.40, 306,693.30 and 78,150.80 is: 117,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,559.40 : 306,693.30 = 78,150.80 : x
  2. Step 2: Convert to fraction form
    204,559.40/306,693.30 = 78,150.80/x
  3. Step 3: Cross multiply
    204,559.40x = 306,693.30 × 78,150.80
  4. Step 4: Simplify right side
    204,559.40x = 23,968,326,749.64
  5. Step 5: Solve for x
    x = 23,968,326,749.64/204,559.40
  6. Step 6: Final answer
    x = 117,170.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.