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Finding the Fourth Proportional to 102,668.25, 154,063.82 and 44,300.25

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Solution

The fourth proportional to 102,668.25, 154,063.82 and 44,300.25 is: 66,476.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,668.25 : 154,063.82 = 44,300.25 : x
  2. Step 2: Convert to fraction form
    102,668.25/154,063.82 = 44,300.25/x
  3. Step 3: Cross multiply
    102,668.25x = 154,063.82 × 44,300.25
  4. Step 4: Simplify right side
    102,668.25x = 6,825,065,520.45
  5. Step 5: Solve for x
    x = 6,825,065,520.45/102,668.25
  6. Step 6: Final answer
    x = 66,476.89

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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.