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Finding the Fourth Proportional to 143,313.98, 197,777.38 and 82,878.86

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Solution

The fourth proportional to 143,313.98, 197,777.38 and 82,878.86 is: 114,375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,313.98 : 197,777.38 = 82,878.86 : x
  2. Step 2: Convert to fraction form
    143,313.98/197,777.38 = 82,878.86/x
  3. Step 3: Cross multiply
    143,313.98x = 197,777.38 × 82,878.86
  4. Step 4: Simplify right side
    143,313.98x = 16,391,563,788.19
  5. Step 5: Solve for x
    x = 16,391,563,788.19/143,313.98
  6. Step 6: Final answer
    x = 114,375.19

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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.