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Finding the Fourth Proportional to 263,029.54, 362,893.68 and 148,293.82

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Solution

The fourth proportional to 263,029.54, 362,893.68 and 148,293.82 is: 204,596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,029.54 : 362,893.68 = 148,293.82 : x
  2. Step 2: Convert to fraction form
    263,029.54/362,893.68 = 148,293.82/x
  3. Step 3: Cross multiply
    263,029.54x = 362,893.68 × 148,293.82
  4. Step 4: Simplify right side
    263,029.54x = 53,814,890,061.06
  5. Step 5: Solve for x
    x = 53,814,890,061.06/263,029.54
  6. Step 6: Final answer
    x = 204,596.37

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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.