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Finding the Fourth Proportional to 292,201.72, 438,571.98 and 148,208.60

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Solution

The fourth proportional to 292,201.72, 438,571.98 and 148,208.60 is: 222,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,201.72 : 438,571.98 = 148,208.60 : x
  2. Step 2: Convert to fraction form
    292,201.72/438,571.98 = 148,208.60/x
  3. Step 3: Cross multiply
    292,201.72x = 438,571.98 × 148,208.60
  4. Step 4: Simplify right side
    292,201.72x = 65,000,138,413.99
  5. Step 5: Solve for x
    x = 65,000,138,413.99/292,201.72
  6. Step 6: Final answer
    x = 222,449.54

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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.