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Finding the Fourth Proportional to 147,034.34, 220,196.24 and 83,662.46

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Solution

The fourth proportional to 147,034.34, 220,196.24 and 83,662.46 is: 125,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,034.34 : 220,196.24 = 83,662.46 : x
  2. Step 2: Convert to fraction form
    147,034.34/220,196.24 = 83,662.46/x
  3. Step 3: Cross multiply
    147,034.34x = 220,196.24 × 83,662.46
  4. Step 4: Simplify right side
    147,034.34x = 18,422,157,601.86
  5. Step 5: Solve for x
    x = 18,422,157,601.86/147,034.34
  6. Step 6: Final answer
    x = 125,291.54

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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.