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Finding the Fourth Proportional to 106,788.60, 160,134.30 and 47,593.80

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Solution

The fourth proportional to 106,788.60, 160,134.30 and 47,593.80 is: 71,369.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,788.60 : 160,134.30 = 47,593.80 : x
  2. Step 2: Convert to fraction form
    106,788.60/160,134.30 = 47,593.80/x
  3. Step 3: Cross multiply
    106,788.60x = 160,134.30 × 47,593.80
  4. Step 4: Simplify right side
    106,788.60x = 7,621,399,847.34
  5. Step 5: Solve for x
    x = 7,621,399,847.34/106,788.60
  6. Step 6: Final answer
    x = 71,369.04

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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.