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Finding the Fourth Proportional to 140,202.64, 193,478.66 and 76,540.44

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Solution

The fourth proportional to 140,202.64, 193,478.66 and 76,540.44 is: 105,625.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,202.64 : 193,478.66 = 76,540.44 : x
  2. Step 2: Convert to fraction form
    140,202.64/193,478.66 = 76,540.44/x
  3. Step 3: Cross multiply
    140,202.64x = 193,478.66 × 76,540.44
  4. Step 4: Simplify right side
    140,202.64x = 14,808,941,308.56
  5. Step 5: Solve for x
    x = 14,808,941,308.56/140,202.64
  6. Step 6: Final answer
    x = 105,625.27

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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.