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Finding the Fourth Proportional to 275,735.20, 413,631.60 and 76,055.68

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Solution

The fourth proportional to 275,735.20, 413,631.60 and 76,055.68 is: 114,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,735.20 : 413,631.60 = 76,055.68 : x
  2. Step 2: Convert to fraction form
    275,735.20/413,631.60 = 76,055.68/x
  3. Step 3: Cross multiply
    275,735.20x = 413,631.60 × 76,055.68
  4. Step 4: Simplify right side
    275,735.20x = 31,459,032,607.49
  5. Step 5: Solve for x
    x = 31,459,032,607.49/275,735.20
  6. Step 6: Final answer
    x = 114,091.46

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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.