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Finding the Fourth Proportional to 143,078.39, 197,472.63 and 82,638.17

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Solution

The fourth proportional to 143,078.39, 197,472.63 and 82,638.17 is: 114,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,078.39 : 197,472.63 = 82,638.17 : x
  2. Step 2: Convert to fraction form
    143,078.39/197,472.63 = 82,638.17/x
  3. Step 3: Cross multiply
    143,078.39x = 197,472.63 × 82,638.17
  4. Step 4: Simplify right side
    143,078.39x = 16,318,776,768.29
  5. Step 5: Solve for x
    x = 16,318,776,768.29/143,078.39
  6. Step 6: Final answer
    x = 114,054.80

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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.