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Finding the Fourth Proportional to 229,223.05, 343,838.82 and 79,468.22

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Solution

The fourth proportional to 229,223.05, 343,838.82 and 79,468.22 is: 119,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,223.05 : 343,838.82 = 79,468.22 : x
  2. Step 2: Convert to fraction form
    229,223.05/343,838.82 = 79,468.22/x
  3. Step 3: Cross multiply
    229,223.05x = 343,838.82 × 79,468.22
  4. Step 4: Simplify right side
    229,223.05x = 27,324,258,992.30
  5. Step 5: Solve for x
    x = 27,324,258,992.30/229,223.05
  6. Step 6: Final answer
    x = 119,203.80

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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.