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Finding the Fourth Proportional to 278,709.50, 418,133.70 and 81,717.50

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Solution

The fourth proportional to 278,709.50, 418,133.70 and 81,717.50 is: 122,596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,709.50 : 418,133.70 = 81,717.50 : x
  2. Step 2: Convert to fraction form
    278,709.50/418,133.70 = 81,717.50/x
  3. Step 3: Cross multiply
    278,709.50x = 418,133.70 × 81,717.50
  4. Step 4: Simplify right side
    278,709.50x = 34,168,840,629.75
  5. Step 5: Solve for x
    x = 34,168,840,629.75/278,709.50
  6. Step 6: Final answer
    x = 122,596.61

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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.