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Finding the Fourth Proportional to 143,508.80, 198,012 and 83,075.84

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Solution

The fourth proportional to 143,508.80, 198,012 and 83,075.84 is: 114,627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,508.80 : 198,012 = 83,075.84 : x
  2. Step 2: Convert to fraction form
    143,508.80/198,012 = 83,075.84/x
  3. Step 3: Cross multiply
    143,508.80x = 198,012 × 83,075.84
  4. Step 4: Simplify right side
    143,508.80x = 16,450,013,230.08
  5. Step 5: Solve for x
    x = 16,450,013,230.08/143,508.80
  6. Step 6: Final answer
    x = 114,627.21

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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.