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Finding the Fourth Proportional to 201,343.06, 302,007.60 and 51,584.59

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Solution

The fourth proportional to 201,343.06, 302,007.60 and 51,584.59 is: 77,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,343.06 : 302,007.60 = 51,584.59 : x
  2. Step 2: Convert to fraction form
    201,343.06/302,007.60 = 51,584.59/x
  3. Step 3: Cross multiply
    201,343.06x = 302,007.60 × 51,584.59
  4. Step 4: Simplify right side
    201,343.06x = 15,578,938,222.88
  5. Step 5: Solve for x
    x = 15,578,938,222.88/201,343.06
  6. Step 6: Final answer
    x = 77,375.09

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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.