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Finding the Fourth Proportional to 197,355.22, 296,051.50 and 55,200.50

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Solution

The fourth proportional to 197,355.22, 296,051.50 and 55,200.50 is: 82,805.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,355.22 : 296,051.50 = 55,200.50 : x
  2. Step 2: Convert to fraction form
    197,355.22/296,051.50 = 55,200.50/x
  3. Step 3: Cross multiply
    197,355.22x = 296,051.50 × 55,200.50
  4. Step 4: Simplify right side
    197,355.22x = 16,342,190,825.75
  5. Step 5: Solve for x
    x = 16,342,190,825.75/197,355.22
  6. Step 6: Final answer
    x = 82,805.97

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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.