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Finding the Fourth Proportional to 229,401.30, 343,934.19 and 154,334.82

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Solution

The fourth proportional to 229,401.30, 343,934.19 and 154,334.82 is: 231,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,401.30 : 343,934.19 = 154,334.82 : x
  2. Step 2: Convert to fraction form
    229,401.30/343,934.19 = 154,334.82/x
  3. Step 3: Cross multiply
    229,401.30x = 343,934.19 × 154,334.82
  4. Step 4: Simplify right side
    229,401.30x = 53,081,021,305.50
  5. Step 5: Solve for x
    x = 53,081,021,305.50/229,401.30
  6. Step 6: Final answer
    x = 231,389.37

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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.