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Finding the Fourth Proportional to 140,647.89, 194,086.60 and 76,973.38

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Solution

The fourth proportional to 140,647.89, 194,086.60 and 76,973.38 is: 106,219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,647.89 : 194,086.60 = 76,973.38 : x
  2. Step 2: Convert to fraction form
    140,647.89/194,086.60 = 76,973.38/x
  3. Step 3: Cross multiply
    140,647.89x = 194,086.60 × 76,973.38
  4. Step 4: Simplify right side
    140,647.89x = 14,939,501,614.71
  5. Step 5: Solve for x
    x = 14,939,501,614.71/140,647.89
  6. Step 6: Final answer
    x = 106,219.17

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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.