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Finding the Fourth Proportional to 229,286.48, 343,920.47 and 116,964.23

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Solution

The fourth proportional to 229,286.48, 343,920.47 and 116,964.23 is: 175,441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,286.48 : 343,920.47 = 116,964.23 : x
  2. Step 2: Convert to fraction form
    229,286.48/343,920.47 = 116,964.23/x
  3. Step 3: Cross multiply
    229,286.48x = 343,920.47 × 116,964.23
  4. Step 4: Simplify right side
    229,286.48x = 40,226,390,650.36
  5. Step 5: Solve for x
    x = 40,226,390,650.36/229,286.48
  6. Step 6: Final answer
    x = 175,441.62

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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.