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Finding the Fourth Proportional to 109,193.43, 150,686.87 and 61,446.82

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Solution

The fourth proportional to 109,193.43, 150,686.87 and 61,446.82 is: 84,796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,193.43 : 150,686.87 = 61,446.82 : x
  2. Step 2: Convert to fraction form
    109,193.43/150,686.87 = 61,446.82/x
  3. Step 3: Cross multiply
    109,193.43x = 150,686.87 × 61,446.82
  4. Step 4: Simplify right side
    109,193.43x = 9,259,228,977.25
  5. Step 5: Solve for x
    x = 9,259,228,977.25/109,193.43
  6. Step 6: Final answer
    x = 84,796.58

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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.