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Finding the Fourth Proportional to 392,993.69, 589,605.36 and 126,748.31

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Solution

The fourth proportional to 392,993.69, 589,605.36 and 126,748.31 is: 190,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,993.69 : 589,605.36 = 126,748.31 : x
  2. Step 2: Convert to fraction form
    392,993.69/589,605.36 = 126,748.31/x
  3. Step 3: Cross multiply
    392,993.69x = 589,605.36 × 126,748.31
  4. Step 4: Simplify right side
    392,993.69x = 74,731,482,313.20
  5. Step 5: Solve for x
    x = 74,731,482,313.20/392,993.69
  6. Step 6: Final answer
    x = 190,159.50

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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.