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Finding the Fourth Proportional to 175,538.80, 262,862.70 and 96,563.80

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Solution

The fourth proportional to 175,538.80, 262,862.70 and 96,563.80 is: 144,600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,538.80 : 262,862.70 = 96,563.80 : x
  2. Step 2: Convert to fraction form
    175,538.80/262,862.70 = 96,563.80/x
  3. Step 3: Cross multiply
    175,538.80x = 262,862.70 × 96,563.80
  4. Step 4: Simplify right side
    175,538.80x = 25,383,021,190.26
  5. Step 5: Solve for x
    x = 25,383,021,190.26/175,538.80
  6. Step 6: Final answer
    x = 144,600.63

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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.