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Finding the Fourth Proportional to 142,911.80, 197,204.07 and 82,501.90

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Solution

The fourth proportional to 142,911.80, 197,204.07 and 82,501.90 is: 113,844.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,911.80 : 197,204.07 = 82,501.90 : x
  2. Step 2: Convert to fraction form
    142,911.80/197,204.07 = 82,501.90/x
  3. Step 3: Cross multiply
    142,911.80x = 197,204.07 × 82,501.90
  4. Step 4: Simplify right side
    142,911.80x = 16,269,710,462.73
  5. Step 5: Solve for x
    x = 16,269,710,462.73/142,911.80
  6. Step 6: Final answer
    x = 113,844.42

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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.