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Finding the Fourth Proportional to 143,202.42, 197,645.22 and 82,764.72

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Solution

The fourth proportional to 143,202.42, 197,645.22 and 82,764.72 is: 114,230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,202.42 : 197,645.22 = 82,764.72 : x
  2. Step 2: Convert to fraction form
    143,202.42/197,645.22 = 82,764.72/x
  3. Step 3: Cross multiply
    143,202.42x = 197,645.22 × 82,764.72
  4. Step 4: Simplify right side
    143,202.42x = 16,358,051,292.64
  5. Step 5: Solve for x
    x = 16,358,051,292.64/143,202.42
  6. Step 6: Final answer
    x = 114,230.27

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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.