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Finding the Fourth Proportional to 189,593.43, 284,442.79 and 82,958.28

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Solution

The fourth proportional to 189,593.43, 284,442.79 and 82,958.28 is: 124,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,593.43 : 284,442.79 = 82,958.28 : x
  2. Step 2: Convert to fraction form
    189,593.43/284,442.79 = 82,958.28/x
  3. Step 3: Cross multiply
    189,593.43x = 284,442.79 × 82,958.28
  4. Step 4: Simplify right side
    189,593.43x = 23,596,883,498.29
  5. Step 5: Solve for x
    x = 23,596,883,498.29/189,593.43
  6. Step 6: Final answer
    x = 124,460.45

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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.