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Finding the Fourth Proportional to 146,255.50, 219,383.25 and 35,447.50

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Solution

The fourth proportional to 146,255.50, 219,383.25 and 35,447.50 is: 53,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,255.50 : 219,383.25 = 35,447.50 : x
  2. Step 2: Convert to fraction form
    146,255.50/219,383.25 = 35,447.50/x
  3. Step 3: Cross multiply
    146,255.50x = 219,383.25 × 35,447.50
  4. Step 4: Simplify right side
    146,255.50x = 7,776,587,754.38
  5. Step 5: Solve for x
    x = 7,776,587,754.38/146,255.50
  6. Step 6: Final answer
    x = 53,171.25

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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.