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Finding the Fourth Proportional to 143,627.88, 198,212.28 and 83,197.56

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Solution

The fourth proportional to 143,627.88, 198,212.28 and 83,197.56 is: 114,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,627.88 : 198,212.28 = 83,197.56 : x
  2. Step 2: Convert to fraction form
    143,627.88/198,212.28 = 83,197.56/x
  3. Step 3: Cross multiply
    143,627.88x = 198,212.28 × 83,197.56
  4. Step 4: Simplify right side
    143,627.88x = 16,490,778,058.04
  5. Step 5: Solve for x
    x = 16,490,778,058.04/143,627.88
  6. Step 6: Final answer
    x = 114,816.00

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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.