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Finding the Fourth Proportional to 167,164, 230,690.37 and 91,712.50

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Solution

The fourth proportional to 167,164, 230,690.37 and 91,712.50 is: 126,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,164 : 230,690.37 = 91,712.50 : x
  2. Step 2: Convert to fraction form
    167,164/230,690.37 = 91,712.50/x
  3. Step 3: Cross multiply
    167,164x = 230,690.37 × 91,712.50
  4. Step 4: Simplify right side
    167,164x = 21,157,190,558.63
  5. Step 5: Solve for x
    x = 21,157,190,558.63/167,164
  6. Step 6: Final answer
    x = 126,565.47

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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.