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Finding the Fourth Proportional to 200,914.40, 301,371.60 and 82,546.40

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Solution

The fourth proportional to 200,914.40, 301,371.60 and 82,546.40 is: 123,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,914.40 : 301,371.60 = 82,546.40 : x
  2. Step 2: Convert to fraction form
    200,914.40/301,371.60 = 82,546.40/x
  3. Step 3: Cross multiply
    200,914.40x = 301,371.60 × 82,546.40
  4. Step 4: Simplify right side
    200,914.40x = 24,877,140,642.24
  5. Step 5: Solve for x
    x = 24,877,140,642.24/200,914.40
  6. Step 6: Final answer
    x = 123,819.60

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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.