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Finding the Fourth Proportional to 181,464.63, 271,995.26 and 136,947.03

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Solution

The fourth proportional to 181,464.63, 271,995.26 and 136,947.03 is: 205,268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,464.63 : 271,995.26 = 136,947.03 : x
  2. Step 2: Convert to fraction form
    181,464.63/271,995.26 = 136,947.03/x
  3. Step 3: Cross multiply
    181,464.63x = 271,995.26 × 136,947.03
  4. Step 4: Simplify right side
    181,464.63x = 37,248,942,346.34
  5. Step 5: Solve for x
    x = 37,248,942,346.34/181,464.63
  6. Step 6: Final answer
    x = 205,268.33

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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.