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Finding the Fourth Proportional to 275,911.48, 413,896.38 and 118,097.56

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Solution

The fourth proportional to 275,911.48, 413,896.38 and 118,097.56 is: 177,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,911.48 : 413,896.38 = 118,097.56 : x
  2. Step 2: Convert to fraction form
    275,911.48/413,896.38 = 118,097.56/x
  3. Step 3: Cross multiply
    275,911.48x = 413,896.38 × 118,097.56
  4. Step 4: Simplify right side
    275,911.48x = 48,880,152,570.83
  5. Step 5: Solve for x
    x = 48,880,152,570.83/275,911.48
  6. Step 6: Final answer
    x = 177,158.82

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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.