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Finding the Fourth Proportional to 229,169.37, 343,763.38 and 109,164.63

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Solution

The fourth proportional to 229,169.37, 343,763.38 and 109,164.63 is: 163,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,169.37 : 343,763.38 = 109,164.63 : x
  2. Step 2: Convert to fraction form
    229,169.37/343,763.38 = 109,164.63/x
  3. Step 3: Cross multiply
    229,169.37x = 343,763.38 × 109,164.63
  4. Step 4: Simplify right side
    229,169.37x = 37,526,801,639.43
  5. Step 5: Solve for x
    x = 37,526,801,639.43/229,169.37
  6. Step 6: Final answer
    x = 163,751.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.