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Finding the Fourth Proportional to 334,200.28, 461,138.58 and 188,939.68

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Solution

The fourth proportional to 334,200.28, 461,138.58 and 188,939.68 is: 260,704.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,200.28 : 461,138.58 = 188,939.68 : x
  2. Step 2: Convert to fraction form
    334,200.28/461,138.58 = 188,939.68/x
  3. Step 3: Cross multiply
    334,200.28x = 461,138.58 × 188,939.68
  4. Step 4: Simplify right side
    334,200.28x = 87,127,375,740.85
  5. Step 5: Solve for x
    x = 87,127,375,740.85/334,200.28
  6. Step 6: Final answer
    x = 260,704.08

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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.