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Finding the Fourth Proportional to 143,459.96, 197,998.76 and 83,020.19

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Solution

The fourth proportional to 143,459.96, 197,998.76 and 83,020.19 is: 114,581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,459.96 : 197,998.76 = 83,020.19 : x
  2. Step 2: Convert to fraction form
    143,459.96/197,998.76 = 83,020.19/x
  3. Step 3: Cross multiply
    143,459.96x = 197,998.76 × 83,020.19
  4. Step 4: Simplify right side
    143,459.96x = 16,437,893,892.52
  5. Step 5: Solve for x
    x = 16,437,893,892.52/143,459.96
  6. Step 6: Final answer
    x = 114,581.76

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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.