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Finding the Fourth Proportional to 200,144.40, 300,216.60 and 177,399.60

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Solution

The fourth proportional to 200,144.40, 300,216.60 and 177,399.60 is: 266,099.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,144.40 : 300,216.60 = 177,399.60 : x
  2. Step 2: Convert to fraction form
    200,144.40/300,216.60 = 177,399.60/x
  3. Step 3: Cross multiply
    200,144.40x = 300,216.60 × 177,399.60
  4. Step 4: Simplify right side
    200,144.40x = 53,258,304,753.36
  5. Step 5: Solve for x
    x = 53,258,304,753.36/200,144.40
  6. Step 6: Final answer
    x = 266,099.40

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1.5x scale

Why These Related Problems?

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