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Finding the Fourth Proportional to 140,774.67, 194,268.88 and 76,243.87

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Solution

The fourth proportional to 140,774.67, 194,268.88 and 76,243.87 is: 105,216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,774.67 : 194,268.88 = 76,243.87 : x
  2. Step 2: Convert to fraction form
    140,774.67/194,268.88 = 76,243.87/x
  3. Step 3: Cross multiply
    140,774.67x = 194,268.88 × 76,243.87
  4. Step 4: Simplify right side
    140,774.67x = 14,811,811,231.77
  5. Step 5: Solve for x
    x = 14,811,811,231.77/140,774.67
  6. Step 6: Final answer
    x = 105,216.45

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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.