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Finding the Fourth Proportional to 143,295.46, 197,769.52 and 103,142.14

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Solution

The fourth proportional to 143,295.46, 197,769.52 and 103,142.14 is: 142,351.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,295.46 : 197,769.52 = 103,142.14 : x
  2. Step 2: Convert to fraction form
    143,295.46/197,769.52 = 103,142.14/x
  3. Step 3: Cross multiply
    143,295.46x = 197,769.52 × 103,142.14
  4. Step 4: Simplify right side
    143,295.46x = 20,398,371,519.57
  5. Step 5: Solve for x
    x = 20,398,371,519.57/143,295.46
  6. Step 6: Final answer
    x = 142,351.83

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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.