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Finding the Fourth Proportional to 334,142.96, 461,138.28 and 183,240

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Solution

The fourth proportional to 334,142.96, 461,138.28 and 183,240 is: 252,882.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,142.96 : 461,138.28 = 183,240 : x
  2. Step 2: Convert to fraction form
    334,142.96/461,138.28 = 183,240/x
  3. Step 3: Cross multiply
    334,142.96x = 461,138.28 × 183,240
  4. Step 4: Simplify right side
    334,142.96x = 84,498,978,427.20
  5. Step 5: Solve for x
    x = 84,498,978,427.20/334,142.96
  6. Step 6: Final answer
    x = 252,882.71

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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.