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Finding the Fourth Proportional to 106,643.58, 160,063.77 and 54,089.97

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Solution

The fourth proportional to 106,643.58, 160,063.77 and 54,089.97 is: 81,184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,643.58 : 160,063.77 = 54,089.97 : x
  2. Step 2: Convert to fraction form
    106,643.58/160,063.77 = 54,089.97/x
  3. Step 3: Cross multiply
    106,643.58x = 160,063.77 × 54,089.97
  4. Step 4: Simplify right side
    106,643.58x = 8,657,844,517.39
  5. Step 5: Solve for x
    x = 8,657,844,517.39/106,643.58
  6. Step 6: Final answer
    x = 81,184.86

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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.