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Finding the Fourth Proportional to 102,050.41, 140,772.04 and 61,203.67

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Solution

The fourth proportional to 102,050.41, 140,772.04 and 61,203.67 is: 84,426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,050.41 : 140,772.04 = 61,203.67 : x
  2. Step 2: Convert to fraction form
    102,050.41/140,772.04 = 61,203.67/x
  3. Step 3: Cross multiply
    102,050.41x = 140,772.04 × 61,203.67
  4. Step 4: Simplify right side
    102,050.41x = 8,615,765,481.39
  5. Step 5: Solve for x
    x = 8,615,765,481.39/102,050.41
  6. Step 6: Final answer
    x = 84,426.56

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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.