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Finding the Fourth Proportional to 275,494.40, 413,081.03 and 106,817.67

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Solution

The fourth proportional to 275,494.40, 413,081.03 and 106,817.67 is: 160,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,494.40 : 413,081.03 = 106,817.67 : x
  2. Step 2: Convert to fraction form
    275,494.40/413,081.03 = 106,817.67/x
  3. Step 3: Cross multiply
    275,494.40x = 413,081.03 × 106,817.67
  4. Step 4: Simplify right side
    275,494.40x = 44,124,351,080.40
  5. Step 5: Solve for x
    x = 44,124,351,080.40/275,494.40
  6. Step 6: Final answer
    x = 160,164.24

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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.