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Finding the Fourth Proportional to 175,596, 263,401.37 and 55,650.34

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Solution

The fourth proportional to 175,596, 263,401.37 and 55,650.34 is: 83,477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,596 : 263,401.37 = 55,650.34 : x
  2. Step 2: Convert to fraction form
    175,596/263,401.37 = 55,650.34/x
  3. Step 3: Cross multiply
    175,596x = 263,401.37 × 55,650.34
  4. Step 4: Simplify right side
    175,596x = 14,658,375,796.97
  5. Step 5: Solve for x
    x = 14,658,375,796.97/175,596
  6. Step 6: Final answer
    x = 83,477.85

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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.