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Finding the Fourth Proportional to 114,469.20, 171,703.80 and 51,289.20

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Solution

The fourth proportional to 114,469.20, 171,703.80 and 51,289.20 is: 76,933.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,469.20 : 171,703.80 = 51,289.20 : x
  2. Step 2: Convert to fraction form
    114,469.20/171,703.80 = 51,289.20/x
  3. Step 3: Cross multiply
    114,469.20x = 171,703.80 × 51,289.20
  4. Step 4: Simplify right side
    114,469.20x = 8,806,550,538.96
  5. Step 5: Solve for x
    x = 8,806,550,538.96/114,469.20
  6. Step 6: Final answer
    x = 76,933.80

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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.