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Finding the Fourth Proportional to 201,292.30, 301,938.45 and 82,902.70

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Solution

The fourth proportional to 201,292.30, 301,938.45 and 82,902.70 is: 124,354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,292.30 : 301,938.45 = 82,902.70 : x
  2. Step 2: Convert to fraction form
    201,292.30/301,938.45 = 82,902.70/x
  3. Step 3: Cross multiply
    201,292.30x = 301,938.45 × 82,902.70
  4. Step 4: Simplify right side
    201,292.30x = 25,031,512,738.82
  5. Step 5: Solve for x
    x = 25,031,512,738.82/201,292.30
  6. Step 6: Final answer
    x = 124,354.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.