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Finding the Fourth Proportional to 201,313.54, 301,748.88 and 82,920.29

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Solution

The fourth proportional to 201,313.54, 301,748.88 and 82,920.29 is: 124,289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,313.54 : 301,748.88 = 82,920.29 : x
  2. Step 2: Convert to fraction form
    201,313.54/301,748.88 = 82,920.29/x
  3. Step 3: Cross multiply
    201,313.54x = 301,748.88 × 82,920.29
  4. Step 4: Simplify right side
    201,313.54x = 25,021,105,767.99
  5. Step 5: Solve for x
    x = 25,021,105,767.99/201,313.54
  6. Step 6: Final answer
    x = 124,289.23

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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.