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Finding the Fourth Proportional to 229,054.54, 343,299.93 and 109,174.54

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Solution

The fourth proportional to 229,054.54, 343,299.93 and 109,174.54 is: 163,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,054.54 : 343,299.93 = 109,174.54 : x
  2. Step 2: Convert to fraction form
    229,054.54/343,299.93 = 109,174.54/x
  3. Step 3: Cross multiply
    229,054.54x = 343,299.93 × 109,174.54
  4. Step 4: Simplify right side
    229,054.54x = 37,479,611,939.78
  5. Step 5: Solve for x
    x = 37,479,611,939.78/229,054.54
  6. Step 6: Final answer
    x = 163,627.46

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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.