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Finding the Fourth Proportional to 282,466.38, 389,708.75 and 159,942.01

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Solution

The fourth proportional to 282,466.38, 389,708.75 and 159,942.01 is: 220,666.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,466.38 : 389,708.75 = 159,942.01 : x
  2. Step 2: Convert to fraction form
    282,466.38/389,708.75 = 159,942.01/x
  3. Step 3: Cross multiply
    282,466.38x = 389,708.75 × 159,942.01
  4. Step 4: Simplify right side
    282,466.38x = 62,330,800,789.59
  5. Step 5: Solve for x
    x = 62,330,800,789.59/282,466.38
  6. Step 6: Final answer
    x = 220,666.27

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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.