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Finding the Fourth Proportional to 143,692.16, 198,276.80 and 80,021.32

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Solution

The fourth proportional to 143,692.16, 198,276.80 and 80,021.32 is: 110,419.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,692.16 : 198,276.80 = 80,021.32 : x
  2. Step 2: Convert to fraction form
    143,692.16/198,276.80 = 80,021.32/x
  3. Step 3: Cross multiply
    143,692.16x = 198,276.80 × 80,021.32
  4. Step 4: Simplify right side
    143,692.16x = 15,866,371,261.38
  5. Step 5: Solve for x
    x = 15,866,371,261.38/143,692.16
  6. Step 6: Final answer
    x = 110,419.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.