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Finding the Fourth Proportional to 165,007.64, 247,471.76 and 76,175.80

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Solution

The fourth proportional to 165,007.64, 247,471.76 and 76,175.80 is: 114,245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,007.64 : 247,471.76 = 76,175.80 : x
  2. Step 2: Convert to fraction form
    165,007.64/247,471.76 = 76,175.80/x
  3. Step 3: Cross multiply
    165,007.64x = 247,471.76 × 76,175.80
  4. Step 4: Simplify right side
    165,007.64x = 18,851,359,295.41
  5. Step 5: Solve for x
    x = 18,851,359,295.41/165,007.64
  6. Step 6: Final answer
    x = 114,245.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.