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Finding the Fourth Proportional to 106,294.84, 146,676.24 and 65,452.43

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Solution

The fourth proportional to 106,294.84, 146,676.24 and 65,452.43 is: 90,317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,294.84 : 146,676.24 = 65,452.43 : x
  2. Step 2: Convert to fraction form
    106,294.84/146,676.24 = 65,452.43/x
  3. Step 3: Cross multiply
    106,294.84x = 146,676.24 × 65,452.43
  4. Step 4: Simplify right side
    106,294.84x = 9,600,315,270.62
  5. Step 5: Solve for x
    x = 9,600,315,270.62/106,294.84
  6. Step 6: Final answer
    x = 90,317.79

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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.