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Finding the Fourth Proportional to 393,151.20, 589,726.80 and 126,920.40

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Solution

The fourth proportional to 393,151.20, 589,726.80 and 126,920.40 is: 190,380.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,151.20 : 589,726.80 = 126,920.40 : x
  2. Step 2: Convert to fraction form
    393,151.20/589,726.80 = 126,920.40/x
  3. Step 3: Cross multiply
    393,151.20x = 589,726.80 × 126,920.40
  4. Step 4: Simplify right side
    393,151.20x = 74,848,361,346.72
  5. Step 5: Solve for x
    x = 74,848,361,346.72/393,151.20
  6. Step 6: Final answer
    x = 190,380.60

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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.