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Finding the Fourth Proportional to 143,291.16, 197,737.65 and 82,035.30

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Solution

The fourth proportional to 143,291.16, 197,737.65 and 82,035.30 is: 113,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,291.16 : 197,737.65 = 82,035.30 : x
  2. Step 2: Convert to fraction form
    143,291.16/197,737.65 = 82,035.30/x
  3. Step 3: Cross multiply
    143,291.16x = 197,737.65 × 82,035.30
  4. Step 4: Simplify right side
    143,291.16x = 16,221,467,439.05
  5. Step 5: Solve for x
    x = 16,221,467,439.05/143,291.16
  6. Step 6: Final answer
    x = 113,206.34

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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.