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Finding the Fourth Proportional to 167,284.92, 230,823.40 and 94,687.46

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Solution

The fourth proportional to 167,284.92, 230,823.40 and 94,687.46 is: 130,651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,284.92 : 230,823.40 = 94,687.46 : x
  2. Step 2: Convert to fraction form
    167,284.92/230,823.40 = 94,687.46/x
  3. Step 3: Cross multiply
    167,284.92x = 230,823.40 × 94,687.46
  4. Step 4: Simplify right side
    167,284.92x = 21,856,079,827.01
  5. Step 5: Solve for x
    x = 21,856,079,827.01/167,284.92
  6. Step 6: Final answer
    x = 130,651.82

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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.