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Finding the Fourth Proportional to 231,930.96, 317,666.55 and 218,313.24

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Solution

The fourth proportional to 231,930.96, 317,666.55 and 218,313.24 is: 299,014.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,930.96 : 317,666.55 = 218,313.24 : x
  2. Step 2: Convert to fraction form
    231,930.96/317,666.55 = 218,313.24/x
  3. Step 3: Cross multiply
    231,930.96x = 317,666.55 × 218,313.24
  4. Step 4: Simplify right side
    231,930.96x = 69,350,813,770.12
  5. Step 5: Solve for x
    x = 69,350,813,770.12/231,930.96
  6. Step 6: Final answer
    x = 299,014.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.