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Finding the Fourth Proportional to 109,720.88, 164,456.86 and 50,434.04

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Solution

The fourth proportional to 109,720.88, 164,456.86 and 50,434.04 is: 75,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,720.88 : 164,456.86 = 50,434.04 : x
  2. Step 2: Convert to fraction form
    109,720.88/164,456.86 = 50,434.04/x
  3. Step 3: Cross multiply
    109,720.88x = 164,456.86 × 50,434.04
  4. Step 4: Simplify right side
    109,720.88x = 8,294,223,855.51
  5. Step 5: Solve for x
    x = 8,294,223,855.51/109,720.88
  6. Step 6: Final answer
    x = 75,593.85

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