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Finding the Fourth Proportional to 201,825.80, 302,522.70 and 68,582.60

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Solution

The fourth proportional to 201,825.80, 302,522.70 and 68,582.60 is: 102,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,825.80 : 302,522.70 = 68,582.60 : x
  2. Step 2: Convert to fraction form
    201,825.80/302,522.70 = 68,582.60/x
  3. Step 3: Cross multiply
    201,825.80x = 302,522.70 × 68,582.60
  4. Step 4: Simplify right side
    201,825.80x = 20,747,793,325.02
  5. Step 5: Solve for x
    x = 20,747,793,325.02/201,825.80
  6. Step 6: Final answer
    x = 102,800.50

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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.