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Finding the Fourth Proportional to 201,833.20, 302,490.60 and 122,863.60

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Solution

The fourth proportional to 201,833.20, 302,490.60 and 122,863.60 is: 184,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,833.20 : 302,490.60 = 122,863.60 : x
  2. Step 2: Convert to fraction form
    201,833.20/302,490.60 = 122,863.60/x
  3. Step 3: Cross multiply
    201,833.20x = 302,490.60 × 122,863.60
  4. Step 4: Simplify right side
    201,833.20x = 37,165,084,082.16
  5. Step 5: Solve for x
    x = 37,165,084,082.16/201,833.20
  6. Step 6: Final answer
    x = 184,137.62

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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.