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Finding the Fourth Proportional to 174,770, 262,155.96 and 43,442

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Solution

The fourth proportional to 174,770, 262,155.96 and 43,442 is: 65,163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,770 : 262,155.96 = 43,442 : x
  2. Step 2: Convert to fraction form
    174,770/262,155.96 = 43,442/x
  3. Step 3: Cross multiply
    174,770x = 262,155.96 × 43,442
  4. Step 4: Simplify right side
    174,770x = 11,388,579,214.32
  5. Step 5: Solve for x
    x = 11,388,579,214.32/174,770
  6. Step 6: Final answer
    x = 65,163.24

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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.