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Finding the Fourth Proportional to 170,013.84, 255,049.92 and 51,696.96

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Solution

The fourth proportional to 170,013.84, 255,049.92 and 51,696.96 is: 77,554.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,013.84 : 255,049.92 = 51,696.96 : x
  2. Step 2: Convert to fraction form
    170,013.84/255,049.92 = 51,696.96/x
  3. Step 3: Cross multiply
    170,013.84x = 255,049.92 × 51,696.96
  4. Step 4: Simplify right side
    170,013.84x = 13,185,305,512.24
  5. Step 5: Solve for x
    x = 13,185,305,512.24/170,013.84
  6. Step 6: Final answer
    x = 77,554.31

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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.