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Finding the Fourth Proportional to 200,538.40, 300,807.60 and 161,172.40

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Solution

The fourth proportional to 200,538.40, 300,807.60 and 161,172.40 is: 241,758.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,538.40 : 300,807.60 = 161,172.40 : x
  2. Step 2: Convert to fraction form
    200,538.40/300,807.60 = 161,172.40/x
  3. Step 3: Cross multiply
    200,538.40x = 300,807.60 × 161,172.40
  4. Step 4: Simplify right side
    200,538.40x = 48,481,882,830.24
  5. Step 5: Solve for x
    x = 48,481,882,830.24/200,538.40
  6. Step 6: Final answer
    x = 241,758.60

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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.