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Finding the Fourth Proportional to 229,354.11, 343,874.16 and 116,816.49

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Solution

The fourth proportional to 229,354.11, 343,874.16 and 116,816.49 is: 175,144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,354.11 : 343,874.16 = 116,816.49 : x
  2. Step 2: Convert to fraction form
    229,354.11/343,874.16 = 116,816.49/x
  3. Step 3: Cross multiply
    229,354.11x = 343,874.16 × 116,816.49
  4. Step 4: Simplify right side
    229,354.11x = 40,170,172,372.90
  5. Step 5: Solve for x
    x = 40,170,172,372.90/229,354.11
  6. Step 6: Final answer
    x = 175,144.77

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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.