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Finding the Fourth Proportional to 166,582.46, 249,798.56 and 82,309.74

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Solution

The fourth proportional to 166,582.46, 249,798.56 and 82,309.74 is: 123,427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,582.46 : 249,798.56 = 82,309.74 : x
  2. Step 2: Convert to fraction form
    166,582.46/249,798.56 = 82,309.74/x
  3. Step 3: Cross multiply
    166,582.46x = 249,798.56 × 82,309.74
  4. Step 4: Simplify right side
    166,582.46x = 20,560,854,114.43
  5. Step 5: Solve for x
    x = 20,560,854,114.43/166,582.46
  6. Step 6: Final answer
    x = 123,427.49

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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.