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Finding the Fourth Proportional to 150,593.66, 207,822.02 and 82,614.10

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Solution

The fourth proportional to 150,593.66, 207,822.02 and 82,614.10 is: 114,008.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,593.66 : 207,822.02 = 82,614.10 : x
  2. Step 2: Convert to fraction form
    150,593.66/207,822.02 = 82,614.10/x
  3. Step 3: Cross multiply
    150,593.66x = 207,822.02 × 82,614.10
  4. Step 4: Simplify right side
    150,593.66x = 17,169,029,142.48
  5. Step 5: Solve for x
    x = 17,169,029,142.48/150,593.66
  6. Step 6: Final answer
    x = 114,008.98

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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.