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Finding the Fourth Proportional to 146,270.40, 219,412.80 and 76,286.40

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Solution

The fourth proportional to 146,270.40, 219,412.80 and 76,286.40 is: 114,433.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,270.40 : 219,412.80 = 76,286.40 : x
  2. Step 2: Convert to fraction form
    146,270.40/219,412.80 = 76,286.40/x
  3. Step 3: Cross multiply
    146,270.40x = 219,412.80 × 76,286.40
  4. Step 4: Simplify right side
    146,270.40x = 16,738,212,625.92
  5. Step 5: Solve for x
    x = 16,738,212,625.92/146,270.40
  6. Step 6: Final answer
    x = 114,433.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.