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Finding the Fourth Proportional to 143,096.34, 197,482.14 and 82,669.56

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Solution

The fourth proportional to 143,096.34, 197,482.14 and 82,669.56 is: 114,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,096.34 : 197,482.14 = 82,669.56 : x
  2. Step 2: Convert to fraction form
    143,096.34/197,482.14 = 82,669.56/x
  3. Step 3: Cross multiply
    143,096.34x = 197,482.14 × 82,669.56
  4. Step 4: Simplify right side
    143,096.34x = 16,325,761,621.66
  5. Step 5: Solve for x
    x = 16,325,761,621.66/143,096.34
  6. Step 6: Final answer
    x = 114,089.30

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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.