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Finding the Fourth Proportional to 275,912.98, 413,898.63 and 118,099.06

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Solution

The fourth proportional to 275,912.98, 413,898.63 and 118,099.06 is: 177,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,912.98 : 413,898.63 = 118,099.06 : x
  2. Step 2: Convert to fraction form
    275,912.98/413,898.63 = 118,099.06/x
  3. Step 3: Cross multiply
    275,912.98x = 413,898.63 × 118,099.06
  4. Step 4: Simplify right side
    275,912.98x = 48,881,039,138.29
  5. Step 5: Solve for x
    x = 48,881,039,138.29/275,912.98
  6. Step 6: Final answer
    x = 177,161.07

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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.