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Finding the Fourth Proportional to 201,330.36, 302,053.86 and 82,940.76

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Solution

The fourth proportional to 201,330.36, 302,053.86 and 82,940.76 is: 124,435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,330.36 : 302,053.86 = 82,940.76 : x
  2. Step 2: Convert to fraction form
    201,330.36/302,053.86 = 82,940.76/x
  3. Step 3: Cross multiply
    201,330.36x = 302,053.86 × 82,940.76
  4. Step 4: Simplify right side
    201,330.36x = 25,052,576,709.33
  5. Step 5: Solve for x
    x = 25,052,576,709.33/201,330.36
  6. Step 6: Final answer
    x = 124,435.17

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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.