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Finding the Fourth Proportional to 106,876.80, 160,315.20 and 41,212.80

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Solution

The fourth proportional to 106,876.80, 160,315.20 and 41,212.80 is: 61,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,876.80 : 160,315.20 = 41,212.80 : x
  2. Step 2: Convert to fraction form
    106,876.80/160,315.20 = 41,212.80/x
  3. Step 3: Cross multiply
    106,876.80x = 160,315.20 × 41,212.80
  4. Step 4: Simplify right side
    106,876.80x = 6,607,038,274.56
  5. Step 5: Solve for x
    x = 6,607,038,274.56/106,876.80
  6. Step 6: Final answer
    x = 61,819.20

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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.