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Finding the Fourth Proportional to 109,844.66, 164,653.86 and 43,257.80

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Solution

The fourth proportional to 109,844.66, 164,653.86 and 43,257.80 is: 64,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,844.66 : 164,653.86 = 43,257.80 : x
  2. Step 2: Convert to fraction form
    109,844.66/164,653.86 = 43,257.80/x
  3. Step 3: Cross multiply
    109,844.66x = 164,653.86 × 43,257.80
  4. Step 4: Simplify right side
    109,844.66x = 7,122,563,745.11
  5. Step 5: Solve for x
    x = 7,122,563,745.11/109,844.66
  6. Step 6: Final answer
    x = 64,842.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.