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Finding the Fourth Proportional to 233,768.30, 350,662.88 and 71,650.40

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Solution

The fourth proportional to 233,768.30, 350,662.88 and 71,650.40 is: 107,478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,768.30 : 350,662.88 = 71,650.40 : x
  2. Step 2: Convert to fraction form
    233,768.30/350,662.88 = 71,650.40/x
  3. Step 3: Cross multiply
    233,768.30x = 350,662.88 × 71,650.40
  4. Step 4: Simplify right side
    233,768.30x = 25,125,134,042.96
  5. Step 5: Solve for x
    x = 25,125,134,042.96/233,768.30
  6. Step 6: Final answer
    x = 107,478.79

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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.