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Finding the Fourth Proportional to 166,415.40, 249,644.70 and 82,218.60

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Solution

The fourth proportional to 166,415.40, 249,644.70 and 82,218.60 is: 123,338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,415.40 : 249,644.70 = 82,218.60 : x
  2. Step 2: Convert to fraction form
    166,415.40/249,644.70 = 82,218.60/x
  3. Step 3: Cross multiply
    166,415.40x = 249,644.70 × 82,218.60
  4. Step 4: Simplify right side
    166,415.40x = 20,525,437,731.42
  5. Step 5: Solve for x
    x = 20,525,437,731.42/166,415.40
  6. Step 6: Final answer
    x = 123,338.57

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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.