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Finding the Fourth Proportional to 167,684.40, 231,401 and 91,205

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Solution

The fourth proportional to 167,684.40, 231,401 and 91,205 is: 125,861.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,684.40 : 231,401 = 91,205 : x
  2. Step 2: Convert to fraction form
    167,684.40/231,401 = 91,205/x
  3. Step 3: Cross multiply
    167,684.40x = 231,401 × 91,205
  4. Step 4: Simplify right side
    167,684.40x = 21,104,928,205
  5. Step 5: Solve for x
    x = 21,104,928,205/167,684.40
  6. Step 6: Final answer
    x = 125,861.01

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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.