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Finding the Fourth Proportional to 106,410.67, 159,508.28 and 68,994.43

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Solution

The fourth proportional to 106,410.67, 159,508.28 and 68,994.43 is: 103,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,410.67 : 159,508.28 = 68,994.43 : x
  2. Step 2: Convert to fraction form
    106,410.67/159,508.28 = 68,994.43/x
  3. Step 3: Cross multiply
    106,410.67x = 159,508.28 × 68,994.43
  4. Step 4: Simplify right side
    106,410.67x = 11,005,182,513.91
  5. Step 5: Solve for x
    x = 11,005,182,513.91/106,410.67
  6. Step 6: Final answer
    x = 103,421.80

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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.