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Finding the Fourth Proportional to 178,674.43, 268,017.57 and 89,879.55

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Solution

The fourth proportional to 178,674.43, 268,017.57 and 89,879.55 is: 134,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,674.43 : 268,017.57 = 89,879.55 : x
  2. Step 2: Convert to fraction form
    178,674.43/268,017.57 = 89,879.55/x
  3. Step 3: Cross multiply
    178,674.43x = 268,017.57 × 89,879.55
  4. Step 4: Simplify right side
    178,674.43x = 24,089,298,583.69
  5. Step 5: Solve for x
    x = 24,089,298,583.69/178,674.43
  6. Step 6: Final answer
    x = 134,822.31

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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.