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Finding the Fourth Proportional to 201,042.84, 301,556.16 and 51,286.80

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Solution

The fourth proportional to 201,042.84, 301,556.16 and 51,286.80 is: 76,928.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,042.84 : 301,556.16 = 51,286.80 : x
  2. Step 2: Convert to fraction form
    201,042.84/301,556.16 = 51,286.80/x
  3. Step 3: Cross multiply
    201,042.84x = 301,556.16 × 51,286.80
  4. Step 4: Simplify right side
    201,042.84x = 15,465,850,466.69
  5. Step 5: Solve for x
    x = 15,465,850,466.69/201,042.84
  6. Step 6: Final answer
    x = 76,928.13

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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.