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Finding the Fourth Proportional to 208,885.20, 313,327.80 and 167,413.20

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Solution

The fourth proportional to 208,885.20, 313,327.80 and 167,413.20 is: 251,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,885.20 : 313,327.80 = 167,413.20 : x
  2. Step 2: Convert to fraction form
    208,885.20/313,327.80 = 167,413.20/x
  3. Step 3: Cross multiply
    208,885.20x = 313,327.80 × 167,413.20
  4. Step 4: Simplify right side
    208,885.20x = 52,455,209,646.96
  5. Step 5: Solve for x
    x = 52,455,209,646.96/208,885.20
  6. Step 6: Final answer
    x = 251,119.80

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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.