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Finding the Fourth Proportional to 166,586.96, 249,805.31 and 82,314.24

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Solution

The fourth proportional to 166,586.96, 249,805.31 and 82,314.24 is: 123,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,586.96 : 249,805.31 = 82,314.24 : x
  2. Step 2: Convert to fraction form
    166,586.96/249,805.31 = 82,314.24/x
  3. Step 3: Cross multiply
    166,586.96x = 249,805.31 × 82,314.24
  4. Step 4: Simplify right side
    166,586.96x = 20,562,533,829.04
  5. Step 5: Solve for x
    x = 20,562,533,829.04/166,586.96
  6. Step 6: Final answer
    x = 123,434.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.