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Finding the Fourth Proportional to 235,198.64, 324,568.68 and 127,766.27

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Solution

The fourth proportional to 235,198.64, 324,568.68 and 127,766.27 is: 176,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,198.64 : 324,568.68 = 127,766.27 : x
  2. Step 2: Convert to fraction form
    235,198.64/324,568.68 = 127,766.27/x
  3. Step 3: Cross multiply
    235,198.64x = 324,568.68 × 127,766.27
  4. Step 4: Simplify right side
    235,198.64x = 41,468,929,602.42
  5. Step 5: Solve for x
    x = 41,468,929,602.42/235,198.64
  6. Step 6: Final answer
    x = 176,314.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.