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Finding the Fourth Proportional to 144,143.08, 198,864.74 and 83,692.20

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Solution

The fourth proportional to 144,143.08, 198,864.74 and 83,692.20 is: 115,464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,143.08 : 198,864.74 = 83,692.20 : x
  2. Step 2: Convert to fraction form
    144,143.08/198,864.74 = 83,692.20/x
  3. Step 3: Cross multiply
    144,143.08x = 198,864.74 × 83,692.20
  4. Step 4: Simplify right side
    144,143.08x = 16,643,427,593.03
  5. Step 5: Solve for x
    x = 16,643,427,593.03/144,143.08
  6. Step 6: Final answer
    x = 115,464.63

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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.