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Finding the Fourth Proportional to 143,644.37, 198,199.05 and 83,211.40

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Solution

The fourth proportional to 143,644.37, 198,199.05 and 83,211.40 is: 114,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,644.37 : 198,199.05 = 83,211.40 : x
  2. Step 2: Convert to fraction form
    143,644.37/198,199.05 = 83,211.40/x
  3. Step 3: Cross multiply
    143,644.37x = 198,199.05 × 83,211.40
  4. Step 4: Simplify right side
    143,644.37x = 16,492,419,438.17
  5. Step 5: Solve for x
    x = 16,492,419,438.17/143,644.37
  6. Step 6: Final answer
    x = 114,814.24

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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.