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Finding the Fourth Proportional to 258,193.63, 356,340.62 and 145,016.38

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Solution

The fourth proportional to 258,193.63, 356,340.62 and 145,016.38 is: 200,141.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,193.63 : 356,340.62 = 145,016.38 : x
  2. Step 2: Convert to fraction form
    258,193.63/356,340.62 = 145,016.38/x
  3. Step 3: Cross multiply
    258,193.63x = 356,340.62 × 145,016.38
  4. Step 4: Simplify right side
    258,193.63x = 51,675,224,252.57
  5. Step 5: Solve for x
    x = 51,675,224,252.57/258,193.63
  6. Step 6: Final answer
    x = 200,141.36

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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.