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Finding the Fourth Proportional to 166,414.50, 249,621.75 and 55,606.50

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Solution

The fourth proportional to 166,414.50, 249,621.75 and 55,606.50 is: 83,409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,414.50 : 249,621.75 = 55,606.50 : x
  2. Step 2: Convert to fraction form
    166,414.50/249,621.75 = 55,606.50/x
  3. Step 3: Cross multiply
    166,414.50x = 249,621.75 × 55,606.50
  4. Step 4: Simplify right side
    166,414.50x = 13,880,591,841.38
  5. Step 5: Solve for x
    x = 13,880,591,841.38/166,414.50
  6. Step 6: Final answer
    x = 83,409.75

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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.