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Finding the Fourth Proportional to 200,096.40, 299,415.60 and 147,608.40

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Solution

The fourth proportional to 200,096.40, 299,415.60 and 147,608.40 is: 220,874.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,096.40 : 299,415.60 = 147,608.40 : x
  2. Step 2: Convert to fraction form
    200,096.40/299,415.60 = 147,608.40/x
  3. Step 3: Cross multiply
    200,096.40x = 299,415.60 × 147,608.40
  4. Step 4: Simplify right side
    200,096.40x = 44,196,257,651.04
  5. Step 5: Solve for x
    x = 44,196,257,651.04/200,096.40
  6. Step 6: Final answer
    x = 220,874.83

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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.