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Finding the Fourth Proportional to 164,367.86, 226,825.43 and 91,771.86

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Solution

The fourth proportional to 164,367.86, 226,825.43 and 91,771.86 is: 126,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,367.86 : 226,825.43 = 91,771.86 : x
  2. Step 2: Convert to fraction form
    164,367.86/226,825.43 = 91,771.86/x
  3. Step 3: Cross multiply
    164,367.86x = 226,825.43 × 91,771.86
  4. Step 4: Simplify right side
    164,367.86x = 20,816,191,238.46
  5. Step 5: Solve for x
    x = 20,816,191,238.46/164,367.86
  6. Step 6: Final answer
    x = 126,643.93

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1.5x scale

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.