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Finding the Fourth Proportional to 200,552.47, 300,822.54 and 82,134.63

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Solution

The fourth proportional to 200,552.47, 300,822.54 and 82,134.63 is: 123,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,552.47 : 300,822.54 = 82,134.63 : x
  2. Step 2: Convert to fraction form
    200,552.47/300,822.54 = 82,134.63/x
  3. Step 3: Cross multiply
    200,552.47x = 300,822.54 × 82,134.63
  4. Step 4: Simplify right side
    200,552.47x = 24,707,948,018.56
  5. Step 5: Solve for x
    x = 24,707,948,018.56/200,552.47
  6. Step 6: Final answer
    x = 123,199.42

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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.