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Finding the Fourth Proportional to 201,922.17, 302,883.26 and 68,733.87

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Solution

The fourth proportional to 201,922.17, 302,883.26 and 68,733.87 is: 103,100.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,922.17 : 302,883.26 = 68,733.87 : x
  2. Step 2: Convert to fraction form
    201,922.17/302,883.26 = 68,733.87/x
  3. Step 3: Cross multiply
    201,922.17x = 302,883.26 × 68,733.87
  4. Step 4: Simplify right side
    201,922.17x = 20,818,338,274.35
  5. Step 5: Solve for x
    x = 20,818,338,274.35/201,922.17
  6. Step 6: Final answer
    x = 103,100.81

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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.