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Finding the Fourth Proportional to 229,057.81, 343,775.69 and 115,237.79

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Solution

The fourth proportional to 229,057.81, 343,775.69 and 115,237.79 is: 172,951.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,057.81 : 343,775.69 = 115,237.79 : x
  2. Step 2: Convert to fraction form
    229,057.81/343,775.69 = 115,237.79/x
  3. Step 3: Cross multiply
    229,057.81x = 343,775.69 × 115,237.79
  4. Step 4: Simplify right side
    229,057.81x = 39,615,950,771.33
  5. Step 5: Solve for x
    x = 39,615,950,771.33/229,057.81
  6. Step 6: Final answer
    x = 172,951.76

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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.