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Finding the Fourth Proportional to 316,967.20, 475,450.80 and 106,583.20

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Solution

The fourth proportional to 316,967.20, 475,450.80 and 106,583.20 is: 159,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,967.20 : 475,450.80 = 106,583.20 : x
  2. Step 2: Convert to fraction form
    316,967.20/475,450.80 = 106,583.20/x
  3. Step 3: Cross multiply
    316,967.20x = 475,450.80 × 106,583.20
  4. Step 4: Simplify right side
    316,967.20x = 50,675,067,706.56
  5. Step 5: Solve for x
    x = 50,675,067,706.56/316,967.20
  6. Step 6: Final answer
    x = 159,874.80

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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.