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Finding the Fourth Proportional to 339,634.80, 509,128.20 and 126,345.60

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Solution

The fourth proportional to 339,634.80, 509,128.20 and 126,345.60 is: 189,397.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,634.80 : 509,128.20 = 126,345.60 : x
  2. Step 2: Convert to fraction form
    339,634.80/509,128.20 = 126,345.60/x
  3. Step 3: Cross multiply
    339,634.80x = 509,128.20 × 126,345.60
  4. Step 4: Simplify right side
    339,634.80x = 64,326,107,905.92
  5. Step 5: Solve for x
    x = 64,326,107,905.92/339,634.80
  6. Step 6: Final answer
    x = 189,397.87

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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.