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Finding the Fourth Proportional to 229,098.92, 343,475.58 and 150,233

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Solution

The fourth proportional to 229,098.92, 343,475.58 and 150,233 is: 225,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,098.92 : 343,475.58 = 150,233 : x
  2. Step 2: Convert to fraction form
    229,098.92/343,475.58 = 150,233/x
  3. Step 3: Cross multiply
    229,098.92x = 343,475.58 × 150,233
  4. Step 4: Simplify right side
    229,098.92x = 51,601,366,810.14
  5. Step 5: Solve for x
    x = 51,601,366,810.14/229,098.92
  6. Step 6: Final answer
    x = 225,236.19

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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.