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Finding the Fourth Proportional to 136,553.97, 204,786.63 and 52,309.65

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Solution

The fourth proportional to 136,553.97, 204,786.63 and 52,309.65 is: 78,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,553.97 : 204,786.63 = 52,309.65 : x
  2. Step 2: Convert to fraction form
    136,553.97/204,786.63 = 52,309.65/x
  3. Step 3: Cross multiply
    136,553.97x = 204,786.63 × 52,309.65
  4. Step 4: Simplify right side
    136,553.97x = 10,712,316,939.98
  5. Step 5: Solve for x
    x = 10,712,316,939.98/136,553.97
  6. Step 6: Final answer
    x = 78,447.50

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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.