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Finding the Fourth Proportional to 275,841.12, 413,753.40 and 76,173.68

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Solution

The fourth proportional to 275,841.12, 413,753.40 and 76,173.68 is: 114,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,841.12 : 413,753.40 = 76,173.68 : x
  2. Step 2: Convert to fraction form
    275,841.12/413,753.40 = 76,173.68/x
  3. Step 3: Cross multiply
    275,841.12x = 413,753.40 × 76,173.68
  4. Step 4: Simplify right side
    275,841.12x = 31,517,119,090.51
  5. Step 5: Solve for x
    x = 31,517,119,090.51/275,841.12
  6. Step 6: Final answer
    x = 114,258.23

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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.