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Finding the Fourth Proportional to 118,408.56, 177,608.52 and 35,300.40

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Solution

The fourth proportional to 118,408.56, 177,608.52 and 35,300.40 is: 52,949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,408.56 : 177,608.52 = 35,300.40 : x
  2. Step 2: Convert to fraction form
    118,408.56/177,608.52 = 35,300.40/x
  3. Step 3: Cross multiply
    118,408.56x = 177,608.52 × 35,300.40
  4. Step 4: Simplify right side
    118,408.56x = 6,269,651,799.41
  5. Step 5: Solve for x
    x = 6,269,651,799.41/118,408.56
  6. Step 6: Final answer
    x = 52,949.31

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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.