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Finding the Fourth Proportional to 174,978.15, 262,465.52 and 80,181.46

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Solution

The fourth proportional to 174,978.15, 262,465.52 and 80,181.46 is: 120,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,978.15 : 262,465.52 = 80,181.46 : x
  2. Step 2: Convert to fraction form
    174,978.15/262,465.52 = 80,181.46/x
  3. Step 3: Cross multiply
    174,978.15x = 262,465.52 × 80,181.46
  4. Step 4: Simplify right side
    174,978.15x = 21,044,867,413.16
  5. Step 5: Solve for x
    x = 21,044,867,413.16/174,978.15
  6. Step 6: Final answer
    x = 120,271.40

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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.