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Finding the Fourth Proportional to 202,265.40, 302,960.70 and 131,406.60

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Solution

The fourth proportional to 202,265.40, 302,960.70 and 131,406.60 is: 196,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,265.40 : 302,960.70 = 131,406.60 : x
  2. Step 2: Convert to fraction form
    202,265.40/302,960.70 = 131,406.60/x
  3. Step 3: Cross multiply
    202,265.40x = 302,960.70 × 131,406.60
  4. Step 4: Simplify right side
    202,265.40x = 39,811,035,520.62
  5. Step 5: Solve for x
    x = 39,811,035,520.62/202,265.40
  6. Step 6: Final answer
    x = 196,825.73

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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.