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Finding the Fourth Proportional to 201,225, 301,900.68 and 82,952.04

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Solution

The fourth proportional to 201,225, 301,900.68 and 82,952.04 is: 124,454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,225 : 301,900.68 = 82,952.04 : x
  2. Step 2: Convert to fraction form
    201,225/301,900.68 = 82,952.04/x
  3. Step 3: Cross multiply
    201,225x = 301,900.68 × 82,952.04
  4. Step 4: Simplify right side
    201,225x = 25,043,277,283.39
  5. Step 5: Solve for x
    x = 25,043,277,283.39/201,225
  6. Step 6: Final answer
    x = 124,454.11

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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.