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Finding the Fourth Proportional to 76,539.06, 105,704.62 and 68,190.20

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Solution

The fourth proportional to 76,539.06, 105,704.62 and 68,190.20 is: 94,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,539.06 : 105,704.62 = 68,190.20 : x
  2. Step 2: Convert to fraction form
    76,539.06/105,704.62 = 68,190.20/x
  3. Step 3: Cross multiply
    76,539.06x = 105,704.62 × 68,190.20
  4. Step 4: Simplify right side
    76,539.06x = 7,208,019,178.72
  5. Step 5: Solve for x
    x = 7,208,019,178.72/76,539.06
  6. Step 6: Final answer
    x = 94,174.39

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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.