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Finding the Fourth Proportional to 140,022.66, 193,238.10 and 78,788.03

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Solution

The fourth proportional to 140,022.66, 193,238.10 and 78,788.03 is: 108,731.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,022.66 : 193,238.10 = 78,788.03 : x
  2. Step 2: Convert to fraction form
    140,022.66/193,238.10 = 78,788.03/x
  3. Step 3: Cross multiply
    140,022.66x = 193,238.10 × 78,788.03
  4. Step 4: Simplify right side
    140,022.66x = 15,224,848,253.75
  5. Step 5: Solve for x
    x = 15,224,848,253.75/140,022.66
  6. Step 6: Final answer
    x = 108,731.32

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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.