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Finding the Fourth Proportional to 231,077.46, 318,716.30 and 146,112.50

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Solution

The fourth proportional to 231,077.46, 318,716.30 and 146,112.50 is: 201,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,077.46 : 318,716.30 = 146,112.50 : x
  2. Step 2: Convert to fraction form
    231,077.46/318,716.30 = 146,112.50/x
  3. Step 3: Cross multiply
    231,077.46x = 318,716.30 × 146,112.50
  4. Step 4: Simplify right side
    231,077.46x = 46,568,435,383.75
  5. Step 5: Solve for x
    x = 46,568,435,383.75/231,077.46
  6. Step 6: Final answer
    x = 201,527.38

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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.