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Finding the Fourth Proportional to 106,524.53, 146,941.85 and 68,270.49

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Solution

The fourth proportional to 106,524.53, 146,941.85 and 68,270.49 is: 94,173.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,524.53 : 146,941.85 = 68,270.49 : x
  2. Step 2: Convert to fraction form
    106,524.53/146,941.85 = 68,270.49/x
  3. Step 3: Cross multiply
    106,524.53x = 146,941.85 × 68,270.49
  4. Step 4: Simplify right side
    106,524.53x = 10,031,792,271.68
  5. Step 5: Solve for x
    x = 10,031,792,271.68/106,524.53
  6. Step 6: Final answer
    x = 94,173.55

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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.