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Finding the Fourth Proportional to 205,203.60, 307,805.40 and 201,704.40

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Solution

The fourth proportional to 205,203.60, 307,805.40 and 201,704.40 is: 302,556.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,203.60 : 307,805.40 = 201,704.40 : x
  2. Step 2: Convert to fraction form
    205,203.60/307,805.40 = 201,704.40/x
  3. Step 3: Cross multiply
    205,203.60x = 307,805.40 × 201,704.40
  4. Step 4: Simplify right side
    205,203.60x = 62,085,703,523.76
  5. Step 5: Solve for x
    x = 62,085,703,523.76/205,203.60
  6. Step 6: Final answer
    x = 302,556.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.