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Finding the Fourth Proportional to 200,704.08, 301,017.74 and 100,836.60

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Solution

The fourth proportional to 200,704.08, 301,017.74 and 100,836.60 is: 151,235.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,704.08 : 301,017.74 = 100,836.60 : x
  2. Step 2: Convert to fraction form
    200,704.08/301,017.74 = 100,836.60/x
  3. Step 3: Cross multiply
    200,704.08x = 301,017.74 × 100,836.60
  4. Step 4: Simplify right side
    200,704.08x = 30,353,605,441.28
  5. Step 5: Solve for x
    x = 30,353,605,441.28/200,704.08
  6. Step 6: Final answer
    x = 151,235.62

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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.