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Finding the Fourth Proportional to 229,056.34, 343,620.96 and 110,736.40

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Solution

The fourth proportional to 229,056.34, 343,620.96 and 110,736.40 is: 166,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,056.34 : 343,620.96 = 110,736.40 : x
  2. Step 2: Convert to fraction form
    229,056.34/343,620.96 = 110,736.40/x
  3. Step 3: Cross multiply
    229,056.34x = 343,620.96 × 110,736.40
  4. Step 4: Simplify right side
    229,056.34x = 38,051,348,074.94
  5. Step 5: Solve for x
    x = 38,051,348,074.94/229,056.34
  6. Step 6: Final answer
    x = 166,122.22

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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.