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Finding the Fourth Proportional to 201,023.40, 301,389.30 and 82,633.80

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Solution

The fourth proportional to 201,023.40, 301,389.30 and 82,633.80 is: 123,890.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,023.40 : 301,389.30 = 82,633.80 : x
  2. Step 2: Convert to fraction form
    201,023.40/301,389.30 = 82,633.80/x
  3. Step 3: Cross multiply
    201,023.40x = 301,389.30 × 82,633.80
  4. Step 4: Simplify right side
    201,023.40x = 24,904,943,138.34
  5. Step 5: Solve for x
    x = 24,904,943,138.34/201,023.40
  6. Step 6: Final answer
    x = 123,890.77

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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.