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Finding the Fourth Proportional to 150,588.47, 207,814.02 and 82,601

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Solution

The fourth proportional to 150,588.47, 207,814.02 and 82,601 is: 113,990.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,588.47 : 207,814.02 = 82,601 : x
  2. Step 2: Convert to fraction form
    150,588.47/207,814.02 = 82,601/x
  3. Step 3: Cross multiply
    150,588.47x = 207,814.02 × 82,601
  4. Step 4: Simplify right side
    150,588.47x = 17,165,645,866.02
  5. Step 5: Solve for x
    x = 17,165,645,866.02/150,588.47
  6. Step 6: Final answer
    x = 113,990.44

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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.