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Finding the Fourth Proportional to 164,908.80, 247,363.20 and 123,082.43

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Solution

The fourth proportional to 164,908.80, 247,363.20 and 123,082.43 is: 184,623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,908.80 : 247,363.20 = 123,082.43 : x
  2. Step 2: Convert to fraction form
    164,908.80/247,363.20 = 123,082.43/x
  3. Step 3: Cross multiply
    164,908.80x = 247,363.20 × 123,082.43
  4. Step 4: Simplify right side
    164,908.80x = 30,446,062,511.76
  5. Step 5: Solve for x
    x = 30,446,062,511.76/164,908.80
  6. Step 6: Final answer
    x = 184,623.64

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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.