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Finding the Fourth Proportional to 201,920.56, 303,021.38 and 83,592.52

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Solution

The fourth proportional to 201,920.56, 303,021.38 and 83,592.52 is: 125,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,920.56 : 303,021.38 = 83,592.52 : x
  2. Step 2: Convert to fraction form
    201,920.56/303,021.38 = 83,592.52/x
  3. Step 3: Cross multiply
    201,920.56x = 303,021.38 × 83,592.52
  4. Step 4: Simplify right side
    201,920.56x = 25,330,320,219.51
  5. Step 5: Solve for x
    x = 25,330,320,219.51/201,920.56
  6. Step 6: Final answer
    x = 125,446.96

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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.