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Finding the Fourth Proportional to 137,141.25, 189,246.02 and 76,701.43

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Solution

The fourth proportional to 137,141.25, 189,246.02 and 76,701.43 is: 105,842.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,141.25 : 189,246.02 = 76,701.43 : x
  2. Step 2: Convert to fraction form
    137,141.25/189,246.02 = 76,701.43/x
  3. Step 3: Cross multiply
    137,141.25x = 189,246.02 × 76,701.43
  4. Step 4: Simplify right side
    137,141.25x = 14,515,440,640.30
  5. Step 5: Solve for x
    x = 14,515,440,640.30/137,141.25
  6. Step 6: Final answer
    x = 105,842.99

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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.