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Finding the Fourth Proportional to 173,268.86, 259,777.31 and 116,970

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Solution

The fourth proportional to 173,268.86, 259,777.31 and 116,970 is: 175,369.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,268.86 : 259,777.31 = 116,970 : x
  2. Step 2: Convert to fraction form
    173,268.86/259,777.31 = 116,970/x
  3. Step 3: Cross multiply
    173,268.86x = 259,777.31 × 116,970
  4. Step 4: Simplify right side
    173,268.86x = 30,386,151,365.85
  5. Step 5: Solve for x
    x = 30,386,151,365.85/173,268.86
  6. Step 6: Final answer
    x = 175,369.96

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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.