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Finding the Fourth Proportional to 151,738.80, 227,413.80 and 135,020.40

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Solution

The fourth proportional to 151,738.80, 227,413.80 and 135,020.40 is: 202,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,738.80 : 227,413.80 = 135,020.40 : x
  2. Step 2: Convert to fraction form
    151,738.80/227,413.80 = 135,020.40/x
  3. Step 3: Cross multiply
    151,738.80x = 227,413.80 × 135,020.40
  4. Step 4: Simplify right side
    151,738.80x = 30,705,502,241.52
  5. Step 5: Solve for x
    x = 30,705,502,241.52/151,738.80
  6. Step 6: Final answer
    x = 202,357.62

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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.