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Finding the Fourth Proportional to 118,525.75, 177,788.64 and 35,419.75

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Solution

The fourth proportional to 118,525.75, 177,788.64 and 35,419.75 is: 53,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,525.75 : 177,788.64 = 35,419.75 : x
  2. Step 2: Convert to fraction form
    118,525.75/177,788.64 = 35,419.75/x
  3. Step 3: Cross multiply
    118,525.75x = 177,788.64 × 35,419.75
  4. Step 4: Simplify right side
    118,525.75x = 6,297,229,181.64
  5. Step 5: Solve for x
    x = 6,297,229,181.64/118,525.75
  6. Step 6: Final answer
    x = 53,129.63

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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.