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Finding the Fourth Proportional to 175,321.40, 262,884.90 and 75,464.60

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Solution

The fourth proportional to 175,321.40, 262,884.90 and 75,464.60 is: 113,155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,321.40 : 262,884.90 = 75,464.60 : x
  2. Step 2: Convert to fraction form
    175,321.40/262,884.90 = 75,464.60/x
  3. Step 3: Cross multiply
    175,321.40x = 262,884.90 × 75,464.60
  4. Step 4: Simplify right side
    175,321.40x = 19,838,503,824.54
  5. Step 5: Solve for x
    x = 19,838,503,824.54/175,321.40
  6. Step 6: Final answer
    x = 113,155.06

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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.