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Finding the Fourth Proportional to 142,091.49, 195,998.52 and 84,692.16

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Solution

The fourth proportional to 142,091.49, 195,998.52 and 84,692.16 is: 116,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,091.49 : 195,998.52 = 84,692.16 : x
  2. Step 2: Convert to fraction form
    142,091.49/195,998.52 = 84,692.16/x
  3. Step 3: Cross multiply
    142,091.49x = 195,998.52 × 84,692.16
  4. Step 4: Simplify right side
    142,091.49x = 16,599,538,015.60
  5. Step 5: Solve for x
    x = 16,599,538,015.60/142,091.49
  6. Step 6: Final answer
    x = 116,822.89

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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.