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Finding the Fourth Proportional to 143,439.50, 197,946.51 and 83,823.50

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Solution

The fourth proportional to 143,439.50, 197,946.51 and 83,823.50 is: 115,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,439.50 : 197,946.51 = 83,823.50 : x
  2. Step 2: Convert to fraction form
    143,439.50/197,946.51 = 83,823.50/x
  3. Step 3: Cross multiply
    143,439.50x = 197,946.51 × 83,823.50
  4. Step 4: Simplify right side
    143,439.50x = 16,592,569,280.99
  5. Step 5: Solve for x
    x = 16,592,569,280.99/143,439.50
  6. Step 6: Final answer
    x = 115,676.43

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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.