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Finding the Fourth Proportional to 205,840.40, 308,760.60 and 100,605.20

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Solution

The fourth proportional to 205,840.40, 308,760.60 and 100,605.20 is: 150,907.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,840.40 : 308,760.60 = 100,605.20 : x
  2. Step 2: Convert to fraction form
    205,840.40/308,760.60 = 100,605.20/x
  3. Step 3: Cross multiply
    205,840.40x = 308,760.60 × 100,605.20
  4. Step 4: Simplify right side
    205,840.40x = 31,062,921,915.12
  5. Step 5: Solve for x
    x = 31,062,921,915.12/205,840.40
  6. Step 6: Final answer
    x = 150,907.80

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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.