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Finding the Fourth Proportional to 166,414.40, 249,621.60 and 149,825.60

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Solution

The fourth proportional to 166,414.40, 249,621.60 and 149,825.60 is: 224,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,414.40 : 249,621.60 = 149,825.60 : x
  2. Step 2: Convert to fraction form
    166,414.40/249,621.60 = 149,825.60/x
  3. Step 3: Cross multiply
    166,414.40x = 249,621.60 × 149,825.60
  4. Step 4: Simplify right side
    166,414.40x = 37,399,705,992.96
  5. Step 5: Solve for x
    x = 37,399,705,992.96/166,414.40
  6. Step 6: Final answer
    x = 224,738.40

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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.