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Finding the Fourth Proportional to 201,283.43, 301,924.94 and 51,523.49

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Solution

The fourth proportional to 201,283.43, 301,924.94 and 51,523.49 is: 77,285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,283.43 : 301,924.94 = 51,523.49 : x
  2. Step 2: Convert to fraction form
    201,283.43/301,924.94 = 51,523.49/x
  3. Step 3: Cross multiply
    201,283.43x = 301,924.94 × 51,523.49
  4. Step 4: Simplify right side
    201,283.43x = 15,556,224,859.60
  5. Step 5: Solve for x
    x = 15,556,224,859.60/201,283.43
  6. Step 6: Final answer
    x = 77,285.18

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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.