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Finding the Fourth Proportional to 202,202.42, 302,897.62 and 100,694.64

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Solution

The fourth proportional to 202,202.42, 302,897.62 and 100,694.64 is: 150,839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,202.42 : 302,897.62 = 100,694.64 : x
  2. Step 2: Convert to fraction form
    202,202.42/302,897.62 = 100,694.64/x
  3. Step 3: Cross multiply
    202,202.42x = 302,897.62 × 100,694.64
  4. Step 4: Simplify right side
    202,202.42x = 30,500,166,299.28
  5. Step 5: Solve for x
    x = 30,500,166,299.28/202,202.42
  6. Step 6: Final answer
    x = 150,839.77

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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.