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Finding the Fourth Proportional to 167,628.96, 231,329.64 and 92,178

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Solution

The fourth proportional to 167,628.96, 231,329.64 and 92,178 is: 127,206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,628.96 : 231,329.64 = 92,178 : x
  2. Step 2: Convert to fraction form
    167,628.96/231,329.64 = 92,178/x
  3. Step 3: Cross multiply
    167,628.96x = 231,329.64 × 92,178
  4. Step 4: Simplify right side
    167,628.96x = 21,323,503,555.92
  5. Step 5: Solve for x
    x = 21,323,503,555.92/167,628.96
  6. Step 6: Final answer
    x = 127,206.56

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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.