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Finding the Fourth Proportional to 167,295.24, 250,969.86 and 54,942.84

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Solution

The fourth proportional to 167,295.24, 250,969.86 and 54,942.84 is: 82,423.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,295.24 : 250,969.86 = 54,942.84 : x
  2. Step 2: Convert to fraction form
    167,295.24/250,969.86 = 54,942.84/x
  3. Step 3: Cross multiply
    167,295.24x = 250,969.86 × 54,942.84
  4. Step 4: Simplify right side
    167,295.24x = 13,788,996,862.80
  5. Step 5: Solve for x
    x = 13,788,996,862.80/167,295.24
  6. Step 6: Final answer
    x = 82,423.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.