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Finding the Fourth Proportional to 201,922.82, 302,825.89 and 68,800.13

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Solution

The fourth proportional to 201,922.82, 302,825.89 and 68,800.13 is: 103,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,922.82 : 302,825.89 = 68,800.13 : x
  2. Step 2: Convert to fraction form
    201,922.82/302,825.89 = 68,800.13/x
  3. Step 3: Cross multiply
    201,922.82x = 302,825.89 × 68,800.13
  4. Step 4: Simplify right side
    201,922.82x = 20,834,460,599.37
  5. Step 5: Solve for x
    x = 20,834,460,599.37/201,922.82
  6. Step 6: Final answer
    x = 103,180.32

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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.