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Finding the Fourth Proportional to 203,413.20, 305,119.80 and 140,427.60

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Solution

The fourth proportional to 203,413.20, 305,119.80 and 140,427.60 is: 210,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,413.20 : 305,119.80 = 140,427.60 : x
  2. Step 2: Convert to fraction form
    203,413.20/305,119.80 = 140,427.60/x
  3. Step 3: Cross multiply
    203,413.20x = 305,119.80 × 140,427.60
  4. Step 4: Simplify right side
    203,413.20x = 42,847,241,226.48
  5. Step 5: Solve for x
    x = 42,847,241,226.48/203,413.20
  6. Step 6: Final answer
    x = 210,641.40

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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.