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Finding the Fourth Proportional to 201,912.60, 302,868.90 and 198,024.60

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Solution

The fourth proportional to 201,912.60, 302,868.90 and 198,024.60 is: 297,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,912.60 : 302,868.90 = 198,024.60 : x
  2. Step 2: Convert to fraction form
    201,912.60/302,868.90 = 198,024.60/x
  3. Step 3: Cross multiply
    201,912.60x = 302,868.90 × 198,024.60
  4. Step 4: Simplify right side
    201,912.60x = 59,975,492,774.94
  5. Step 5: Solve for x
    x = 59,975,492,774.94/201,912.60
  6. Step 6: Final answer
    x = 297,036.90

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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.