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Finding the Fourth Proportional to 195,413.20, 293,119.80 and 167,419.60

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Solution

The fourth proportional to 195,413.20, 293,119.80 and 167,419.60 is: 251,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,413.20 : 293,119.80 = 167,419.60 : x
  2. Step 2: Convert to fraction form
    195,413.20/293,119.80 = 167,419.60/x
  3. Step 3: Cross multiply
    195,413.20x = 293,119.80 × 167,419.60
  4. Step 4: Simplify right side
    195,413.20x = 49,073,999,668.08
  5. Step 5: Solve for x
    x = 49,073,999,668.08/195,413.20
  6. Step 6: Final answer
    x = 251,129.40

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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.