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Finding the Fourth Proportional to 209,317.80, 313,976.70 and 120,744.30

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Solution

The fourth proportional to 209,317.80, 313,976.70 and 120,744.30 is: 181,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,317.80 : 313,976.70 = 120,744.30 : x
  2. Step 2: Convert to fraction form
    209,317.80/313,976.70 = 120,744.30/x
  3. Step 3: Cross multiply
    209,317.80x = 313,976.70 × 120,744.30
  4. Step 4: Simplify right side
    209,317.80x = 37,910,896,857.81
  5. Step 5: Solve for x
    x = 37,910,896,857.81/209,317.80
  6. Step 6: Final answer
    x = 181,116.45

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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.