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Finding the Fourth Proportional to 143,051.42, 197,446.80 and 82,657.14

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Solution

The fourth proportional to 143,051.42, 197,446.80 and 82,657.14 is: 114,087.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,051.42 : 197,446.80 = 82,657.14 : x
  2. Step 2: Convert to fraction form
    143,051.42/197,446.80 = 82,657.14/x
  3. Step 3: Cross multiply
    143,051.42x = 197,446.80 × 82,657.14
  4. Step 4: Simplify right side
    143,051.42x = 16,320,387,790.15
  5. Step 5: Solve for x
    x = 16,320,387,790.15/143,051.42
  6. Step 6: Final answer
    x = 114,087.57

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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.