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Finding the Fourth Proportional to 123,949.49, 185,891.02 and 53,812.13

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Solution

The fourth proportional to 123,949.49, 185,891.02 and 53,812.13 is: 80,703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,949.49 : 185,891.02 = 53,812.13 : x
  2. Step 2: Convert to fraction form
    123,949.49/185,891.02 = 53,812.13/x
  3. Step 3: Cross multiply
    123,949.49x = 185,891.02 × 53,812.13
  4. Step 4: Simplify right side
    123,949.49x = 10,003,190,670.09
  5. Step 5: Solve for x
    x = 10,003,190,670.09/123,949.49
  6. Step 6: Final answer
    x = 80,703.77

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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.