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Finding the Fourth Proportional to 174,769.50, 262,155.21 and 43,441.50

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Solution

The fourth proportional to 174,769.50, 262,155.21 and 43,441.50 is: 65,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,769.50 : 262,155.21 = 43,441.50 : x
  2. Step 2: Convert to fraction form
    174,769.50/262,155.21 = 43,441.50/x
  3. Step 3: Cross multiply
    174,769.50x = 262,155.21 × 43,441.50
  4. Step 4: Simplify right side
    174,769.50x = 11,388,415,555.22
  5. Step 5: Solve for x
    x = 11,388,415,555.22/174,769.50
  6. Step 6: Final answer
    x = 65,162.49

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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.