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Finding the Fourth Proportional to 201,283.72, 301,923.43 and 51,522.82

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Solution

The fourth proportional to 201,283.72, 301,923.43 and 51,522.82 is: 77,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,283.72 : 301,923.43 = 51,522.82 : x
  2. Step 2: Convert to fraction form
    201,283.72/301,923.43 = 51,522.82/x
  3. Step 3: Cross multiply
    201,283.72x = 301,923.43 × 51,522.82
  4. Step 4: Simplify right side
    201,283.72x = 15,555,945,654.06
  5. Step 5: Solve for x
    x = 15,555,945,654.06/201,283.72
  6. Step 6: Final answer
    x = 77,283.68

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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.