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Finding the Fourth Proportional to 143,439, 197,945.82 and 83,823

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Solution

The fourth proportional to 143,439, 197,945.82 and 83,823 is: 115,675.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,439 : 197,945.82 = 83,823 : x
  2. Step 2: Convert to fraction form
    143,439/197,945.82 = 83,823/x
  3. Step 3: Cross multiply
    143,439x = 197,945.82 × 83,823
  4. Step 4: Simplify right side
    143,439x = 16,592,412,469.86
  5. Step 5: Solve for x
    x = 16,592,412,469.86/143,439
  6. Step 6: Final answer
    x = 115,675.74

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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.