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Finding the Fourth Proportional to 143,090.34, 197,473.86 and 82,663.56

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Solution

The fourth proportional to 143,090.34, 197,473.86 and 82,663.56 is: 114,081.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,090.34 : 197,473.86 = 82,663.56 : x
  2. Step 2: Convert to fraction form
    143,090.34/197,473.86 = 82,663.56/x
  3. Step 3: Cross multiply
    143,090.34x = 197,473.86 × 82,663.56
  4. Step 4: Simplify right side
    143,090.34x = 16,323,892,274.54
  5. Step 5: Solve for x
    x = 16,323,892,274.54/143,090.34
  6. Step 6: Final answer
    x = 114,081.02

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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.