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Finding the Fourth Proportional to 175,570.80, 263,469.60 and 96,741.60

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Solution

The fourth proportional to 175,570.80, 263,469.60 and 96,741.60 is: 145,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,570.80 : 263,469.60 = 96,741.60 : x
  2. Step 2: Convert to fraction form
    175,570.80/263,469.60 = 96,741.60/x
  3. Step 3: Cross multiply
    175,570.80x = 263,469.60 × 96,741.60
  4. Step 4: Simplify right side
    175,570.80x = 25,488,470,655.36
  5. Step 5: Solve for x
    x = 25,488,470,655.36/175,570.80
  6. Step 6: Final answer
    x = 145,174.88

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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.