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Finding the Fourth Proportional to 205,830.40, 308,745.60 and 197,665.60

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Solution

The fourth proportional to 205,830.40, 308,745.60 and 197,665.60 is: 296,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,830.40 : 308,745.60 = 197,665.60 : x
  2. Step 2: Convert to fraction form
    205,830.40/308,745.60 = 197,665.60/x
  3. Step 3: Cross multiply
    205,830.40x = 308,745.60 × 197,665.60
  4. Step 4: Simplify right side
    205,830.40x = 61,028,384,271.36
  5. Step 5: Solve for x
    x = 61,028,384,271.36/205,830.40
  6. Step 6: Final answer
    x = 296,498.40

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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.