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Finding the Fourth Proportional to 142,744.35, 197,008.17 and 82,303.17

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Solution

The fourth proportional to 142,744.35, 197,008.17 and 82,303.17 is: 113,590.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,744.35 : 197,008.17 = 82,303.17 : x
  2. Step 2: Convert to fraction form
    142,744.35/197,008.17 = 82,303.17/x
  3. Step 3: Cross multiply
    142,744.35x = 197,008.17 × 82,303.17
  4. Step 4: Simplify right side
    142,744.35x = 16,214,396,906.90
  5. Step 5: Solve for x
    x = 16,214,396,906.90/142,744.35
  6. Step 6: Final answer
    x = 113,590.46

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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.