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Finding the Fourth Proportional to 202,286.40, 302,738.40 and 177,403.20

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Solution

The fourth proportional to 202,286.40, 302,738.40 and 177,403.20 is: 265,498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,286.40 : 302,738.40 = 177,403.20 : x
  2. Step 2: Convert to fraction form
    202,286.40/302,738.40 = 177,403.20/x
  3. Step 3: Cross multiply
    202,286.40x = 302,738.40 × 177,403.20
  4. Step 4: Simplify right side
    202,286.40x = 53,706,760,922.88
  5. Step 5: Solve for x
    x = 53,706,760,922.88/202,286.40
  6. Step 6: Final answer
    x = 265,498.62

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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.