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Finding the Fourth Proportional to 205,062.40, 307,593.60 and 200,915.20

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Solution

The fourth proportional to 205,062.40, 307,593.60 and 200,915.20 is: 301,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,062.40 : 307,593.60 = 200,915.20 : x
  2. Step 2: Convert to fraction form
    205,062.40/307,593.60 = 200,915.20/x
  3. Step 3: Cross multiply
    205,062.40x = 307,593.60 × 200,915.20
  4. Step 4: Simplify right side
    205,062.40x = 61,800,229,662.72
  5. Step 5: Solve for x
    x = 61,800,229,662.72/205,062.40
  6. Step 6: Final answer
    x = 301,372.80

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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.