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Finding the Fourth Proportional to 201,916.60, 302,874.90 and 200,534.20

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Solution

The fourth proportional to 201,916.60, 302,874.90 and 200,534.20 is: 300,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,916.60 : 302,874.90 = 200,534.20 : x
  2. Step 2: Convert to fraction form
    201,916.60/302,874.90 = 200,534.20/x
  3. Step 3: Cross multiply
    201,916.60x = 302,874.90 × 200,534.20
  4. Step 4: Simplify right side
    201,916.60x = 60,736,775,771.58
  5. Step 5: Solve for x
    x = 60,736,775,771.58/201,916.60
  6. Step 6: Final answer
    x = 300,801.30

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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.