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Finding the Fourth Proportional to 106,853.80, 160,338.30 and 44,530.60

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Solution

The fourth proportional to 106,853.80, 160,338.30 and 44,530.60 is: 66,819.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,853.80 : 160,338.30 = 44,530.60 : x
  2. Step 2: Convert to fraction form
    106,853.80/160,338.30 = 44,530.60/x
  3. Step 3: Cross multiply
    106,853.80x = 160,338.30 × 44,530.60
  4. Step 4: Simplify right side
    106,853.80x = 7,139,960,701.98
  5. Step 5: Solve for x
    x = 7,139,960,701.98/106,853.80
  6. Step 6: Final answer
    x = 66,819.90

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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.