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Finding the Fourth Proportional to 442,783.80, 664,104.42 and 127,168.92

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Solution

The fourth proportional to 442,783.80, 664,104.42 and 127,168.92 is: 190,732.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,783.80 : 664,104.42 = 127,168.92 : x
  2. Step 2: Convert to fraction form
    442,783.80/664,104.42 = 127,168.92/x
  3. Step 3: Cross multiply
    442,783.80x = 664,104.42 × 127,168.92
  4. Step 4: Simplify right side
    442,783.80x = 84,453,441,858.63
  5. Step 5: Solve for x
    x = 84,453,441,858.63/442,783.80
  6. Step 6: Final answer
    x = 190,732.91

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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.