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Finding the Fourth Proportional to 114,109.20, 171,192.96 and 43,969.68

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Solution

The fourth proportional to 114,109.20, 171,192.96 and 43,969.68 is: 65,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,109.20 : 171,192.96 = 43,969.68 : x
  2. Step 2: Convert to fraction form
    114,109.20/171,192.96 = 43,969.68/x
  3. Step 3: Cross multiply
    114,109.20x = 171,192.96 × 43,969.68
  4. Step 4: Simplify right side
    114,109.20x = 7,527,299,669.45
  5. Step 5: Solve for x
    x = 7,527,299,669.45/114,109.20
  6. Step 6: Final answer
    x = 65,965.76

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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.