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Finding the Fourth Proportional to 262,712.94, 362,546.62 and 149,542.98

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Solution

The fourth proportional to 262,712.94, 362,546.62 and 149,542.98 is: 206,370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,712.94 : 362,546.62 = 149,542.98 : x
  2. Step 2: Convert to fraction form
    262,712.94/362,546.62 = 149,542.98/x
  3. Step 3: Cross multiply
    262,712.94x = 362,546.62 × 149,542.98
  4. Step 4: Simplify right side
    262,712.94x = 54,216,301,943.73
  5. Step 5: Solve for x
    x = 54,216,301,943.73/262,712.94
  6. Step 6: Final answer
    x = 206,370.89

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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.