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Finding the Fourth Proportional to 229,125.20, 343,687.80 and 158,266.40

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Solution

The fourth proportional to 229,125.20, 343,687.80 and 158,266.40 is: 237,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,125.20 : 343,687.80 = 158,266.40 : x
  2. Step 2: Convert to fraction form
    229,125.20/343,687.80 = 158,266.40/x
  3. Step 3: Cross multiply
    229,125.20x = 343,687.80 × 158,266.40
  4. Step 4: Simplify right side
    229,125.20x = 54,394,230,829.92
  5. Step 5: Solve for x
    x = 54,394,230,829.92/229,125.20
  6. Step 6: Final answer
    x = 237,399.60

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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.