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Finding the Fourth Proportional to 174,725.20, 262,087.80 and 81,413.20

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Solution

The fourth proportional to 174,725.20, 262,087.80 and 81,413.20 is: 122,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,725.20 : 262,087.80 = 81,413.20 : x
  2. Step 2: Convert to fraction form
    174,725.20/262,087.80 = 81,413.20/x
  3. Step 3: Cross multiply
    174,725.20x = 262,087.80 × 81,413.20
  4. Step 4: Simplify right side
    174,725.20x = 21,337,406,478.96
  5. Step 5: Solve for x
    x = 21,337,406,478.96/174,725.20
  6. Step 6: Final answer
    x = 122,119.80

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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.