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Finding the Fourth Proportional to 149,032.49, 205,661.98 and 81,964.49

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Solution

The fourth proportional to 149,032.49, 205,661.98 and 81,964.49 is: 113,109.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,032.49 : 205,661.98 = 81,964.49 : x
  2. Step 2: Convert to fraction form
    149,032.49/205,661.98 = 81,964.49/x
  3. Step 3: Cross multiply
    149,032.49x = 205,661.98 × 81,964.49
  4. Step 4: Simplify right side
    149,032.49x = 16,856,979,303.09
  5. Step 5: Solve for x
    x = 16,856,979,303.09/149,032.49
  6. Step 6: Final answer
    x = 113,109.43

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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.