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Finding the Fourth Proportional to 106,294.88, 146,676.29 and 65,452.46

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Solution

The fourth proportional to 106,294.88, 146,676.29 and 65,452.46 is: 90,317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,294.88 : 146,676.29 = 65,452.46 : x
  2. Step 2: Convert to fraction form
    106,294.88/146,676.29 = 65,452.46/x
  3. Step 3: Cross multiply
    106,294.88x = 146,676.29 × 65,452.46
  4. Step 4: Simplify right side
    106,294.88x = 9,600,322,943.53
  5. Step 5: Solve for x
    x = 9,600,322,943.53/106,294.88
  6. Step 6: Final answer
    x = 90,317.83

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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.