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Finding the Fourth Proportional to 106,559.44, 146,957.12 and 68,794

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Solution

The fourth proportional to 106,559.44, 146,957.12 and 68,794 is: 94,874.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,559.44 : 146,957.12 = 68,794 : x
  2. Step 2: Convert to fraction form
    106,559.44/146,957.12 = 68,794/x
  3. Step 3: Cross multiply
    106,559.44x = 146,957.12 × 68,794
  4. Step 4: Simplify right side
    106,559.44x = 10,109,768,113.28
  5. Step 5: Solve for x
    x = 10,109,768,113.28/106,559.44
  6. Step 6: Final answer
    x = 94,874.45

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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.