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Finding the Fourth Proportional to 229,504.60, 344,159.70 and 111,212.20

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Solution

The fourth proportional to 229,504.60, 344,159.70 and 111,212.20 is: 166,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,504.60 : 344,159.70 = 111,212.20 : x
  2. Step 2: Convert to fraction form
    229,504.60/344,159.70 = 111,212.20/x
  3. Step 3: Cross multiply
    229,504.60x = 344,159.70 × 111,212.20
  4. Step 4: Simplify right side
    229,504.60x = 38,274,757,388.34
  5. Step 5: Solve for x
    x = 38,274,757,388.34/229,504.60
  6. Step 6: Final answer
    x = 166,771.20

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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.