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Finding the Fourth Proportional to 106,314.84, 159,163.38 and 61,805.88

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Solution

The fourth proportional to 106,314.84, 159,163.38 and 61,805.88 is: 92,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,314.84 : 159,163.38 = 61,805.88 : x
  2. Step 2: Convert to fraction form
    106,314.84/159,163.38 = 61,805.88/x
  3. Step 3: Cross multiply
    106,314.84x = 159,163.38 × 61,805.88
  4. Step 4: Simplify right side
    106,314.84x = 9,837,232,764.67
  5. Step 5: Solve for x
    x = 9,837,232,764.67/106,314.84
  6. Step 6: Final answer
    x = 92,529.25

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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.