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Finding the Fourth Proportional to 106,824.80, 160,237.20 and 44,487.20

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Solution

The fourth proportional to 106,824.80, 160,237.20 and 44,487.20 is: 66,730.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,824.80 : 160,237.20 = 44,487.20 : x
  2. Step 2: Convert to fraction form
    106,824.80/160,237.20 = 44,487.20/x
  3. Step 3: Cross multiply
    106,824.80x = 160,237.20 × 44,487.20
  4. Step 4: Simplify right side
    106,824.80x = 7,128,504,363.84
  5. Step 5: Solve for x
    x = 7,128,504,363.84/106,824.80
  6. Step 6: Final answer
    x = 66,730.80

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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.