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Finding the Fourth Proportional to 275,735.48, 413,631.97 and 76,055.90

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Solution

The fourth proportional to 275,735.48, 413,631.97 and 76,055.90 is: 114,091.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,735.48 : 413,631.97 = 76,055.90 : x
  2. Step 2: Convert to fraction form
    275,735.48/413,631.97 = 76,055.90/x
  3. Step 3: Cross multiply
    275,735.48x = 413,631.97 × 76,055.90
  4. Step 4: Simplify right side
    275,735.48x = 31,459,149,488.82
  5. Step 5: Solve for x
    x = 31,459,149,488.82/275,735.48
  6. Step 6: Final answer
    x = 114,091.77

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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.