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Finding the Fourth Proportional to 142,093.66, 196,089.27 and 78,431.48

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Solution

The fourth proportional to 142,093.66, 196,089.27 and 78,431.48 is: 108,235.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,093.66 : 196,089.27 = 78,431.48 : x
  2. Step 2: Convert to fraction form
    142,093.66/196,089.27 = 78,431.48/x
  3. Step 3: Cross multiply
    142,093.66x = 196,089.27 × 78,431.48
  4. Step 4: Simplify right side
    142,093.66x = 15,379,571,658.22
  5. Step 5: Solve for x
    x = 15,379,571,658.22/142,093.66
  6. Step 6: Final answer
    x = 108,235.45

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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.