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Finding the Fourth Proportional to 229,478.44, 343,719.20 and 110,901.12

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Solution

The fourth proportional to 229,478.44, 343,719.20 and 110,901.12 is: 166,110.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,478.44 : 343,719.20 = 110,901.12 : x
  2. Step 2: Convert to fraction form
    229,478.44/343,719.20 = 110,901.12/x
  3. Step 3: Cross multiply
    229,478.44x = 343,719.20 × 110,901.12
  4. Step 4: Simplify right side
    229,478.44x = 38,118,844,245.50
  5. Step 5: Solve for x
    x = 38,118,844,245.50/229,478.44
  6. Step 6: Final answer
    x = 166,110.79

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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.