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Finding the Fourth Proportional to 262,707.24, 362,536.40 and 149,530

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Solution

The fourth proportional to 262,707.24, 362,536.40 and 149,530 is: 206,351.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,707.24 : 362,536.40 = 149,530 : x
  2. Step 2: Convert to fraction form
    262,707.24/362,536.40 = 149,530/x
  3. Step 3: Cross multiply
    262,707.24x = 362,536.40 × 149,530
  4. Step 4: Simplify right side
    262,707.24x = 54,210,067,892
  5. Step 5: Solve for x
    x = 54,210,067,892/262,707.24
  6. Step 6: Final answer
    x = 206,351.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.