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Finding the Fourth Proportional to 143,216.64, 197,623.80 and 82,777.68

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Solution

The fourth proportional to 143,216.64, 197,623.80 and 82,777.68 is: 114,224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,216.64 : 197,623.80 = 82,777.68 : x
  2. Step 2: Convert to fraction form
    143,216.64/197,623.80 = 82,777.68/x
  3. Step 3: Cross multiply
    143,216.64x = 197,623.80 × 82,777.68
  4. Step 4: Simplify right side
    143,216.64x = 16,358,839,676.78
  5. Step 5: Solve for x
    x = 16,358,839,676.78/143,216.64
  6. Step 6: Final answer
    x = 114,224.43

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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.