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Finding the Fourth Proportional to 201,238.52, 301,996.40 and 82,910.04

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Solution

The fourth proportional to 201,238.52, 301,996.40 and 82,910.04 is: 124,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,238.52 : 301,996.40 = 82,910.04 : x
  2. Step 2: Convert to fraction form
    201,238.52/301,996.40 = 82,910.04/x
  3. Step 3: Cross multiply
    201,238.52x = 301,996.40 × 82,910.04
  4. Step 4: Simplify right side
    201,238.52x = 25,038,533,603.86
  5. Step 5: Solve for x
    x = 25,038,533,603.86/201,238.52
  6. Step 6: Final answer
    x = 124,422.17

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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.