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Finding the Fourth Proportional to 201,463.22, 302,205.61 and 51,704.80

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Solution

The fourth proportional to 201,463.22, 302,205.61 and 51,704.80 is: 77,559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,463.22 : 302,205.61 = 51,704.80 : x
  2. Step 2: Convert to fraction form
    201,463.22/302,205.61 = 51,704.80/x
  3. Step 3: Cross multiply
    201,463.22x = 302,205.61 × 51,704.80
  4. Step 4: Simplify right side
    201,463.22x = 15,625,480,623.93
  5. Step 5: Solve for x
    x = 15,625,480,623.93/201,463.22
  6. Step 6: Final answer
    x = 77,559.97

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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.