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Finding the Fourth Proportional to 167,164.31, 230,690.81 and 91,712.81

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Solution

The fourth proportional to 167,164.31, 230,690.81 and 91,712.81 is: 126,565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,164.31 : 230,690.81 = 91,712.81 : x
  2. Step 2: Convert to fraction form
    167,164.31/230,690.81 = 91,712.81/x
  3. Step 3: Cross multiply
    167,164.31x = 230,690.81 × 91,712.81
  4. Step 4: Simplify right side
    167,164.31x = 21,157,303,232.29
  5. Step 5: Solve for x
    x = 21,157,303,232.29/167,164.31
  6. Step 6: Final answer
    x = 126,565.91

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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.