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Finding the Fourth Proportional to 143,683.28, 198,229.32 and 143,461.76

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Solution

The fourth proportional to 143,683.28, 198,229.32 and 143,461.76 is: 197,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,683.28 : 198,229.32 = 143,461.76 : x
  2. Step 2: Convert to fraction form
    143,683.28/198,229.32 = 143,461.76/x
  3. Step 3: Cross multiply
    143,683.28x = 198,229.32 × 143,461.76
  4. Step 4: Simplify right side
    143,683.28x = 28,438,327,130.80
  5. Step 5: Solve for x
    x = 28,438,327,130.80/143,683.28
  6. Step 6: Final answer
    x = 197,923.71

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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.