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Finding the Fourth Proportional to 201,024.40, 301,390.80 and 82,634.80

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Solution

The fourth proportional to 201,024.40, 301,390.80 and 82,634.80 is: 123,892.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,024.40 : 301,390.80 = 82,634.80 : x
  2. Step 2: Convert to fraction form
    201,024.40/301,390.80 = 82,634.80/x
  3. Step 3: Cross multiply
    201,024.40x = 301,390.80 × 82,634.80
  4. Step 4: Simplify right side
    201,024.40x = 24,905,368,479.84
  5. Step 5: Solve for x
    x = 24,905,368,479.84/201,024.40
  6. Step 6: Final answer
    x = 123,892.27

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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.