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Finding the Fourth Proportional to 254,794.58, 351,650.64 and 164,413.31

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Solution

The fourth proportional to 254,794.58, 351,650.64 and 164,413.31 is: 226,912.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,794.58 : 351,650.64 = 164,413.31 : x
  2. Step 2: Convert to fraction form
    254,794.58/351,650.64 = 164,413.31/x
  3. Step 3: Cross multiply
    254,794.58x = 351,650.64 × 164,413.31
  4. Step 4: Simplify right side
    254,794.58x = 57,816,045,686.02
  5. Step 5: Solve for x
    x = 57,816,045,686.02/254,794.58
  6. Step 6: Final answer
    x = 226,912.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.