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Finding the Fourth Proportional to 183,908.72, 253,910.22 and 120,353.96

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Solution

The fourth proportional to 183,908.72, 253,910.22 and 120,353.96 is: 166,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,908.72 : 253,910.22 = 120,353.96 : x
  2. Step 2: Convert to fraction form
    183,908.72/253,910.22 = 120,353.96/x
  3. Step 3: Cross multiply
    183,908.72x = 253,910.22 × 120,353.96
  4. Step 4: Simplify right side
    183,908.72x = 30,559,100,461.47
  5. Step 5: Solve for x
    x = 30,559,100,461.47/183,908.72
  6. Step 6: Final answer
    x = 166,164.50

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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.