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Finding the Fourth Proportional to 262,570.51, 362,348.77 and 149,393.26

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Solution

The fourth proportional to 262,570.51, 362,348.77 and 149,393.26 is: 206,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,570.51 : 362,348.77 = 149,393.26 : x
  2. Step 2: Convert to fraction form
    262,570.51/362,348.77 = 149,393.26/x
  3. Step 3: Cross multiply
    262,570.51x = 362,348.77 × 149,393.26
  4. Step 4: Simplify right side
    262,570.51x = 54,132,462,569.03
  5. Step 5: Solve for x
    x = 54,132,462,569.03/262,570.51
  6. Step 6: Final answer
    x = 206,163.53

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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.