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Finding the Fourth Proportional to 275,754.63, 413,632.28 and 86,216.00

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Solution

The fourth proportional to 275,754.63, 413,632.28 and 86,216.00 is: 129,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,754.63 : 413,632.28 = 86,216.00 : x
  2. Step 2: Convert to fraction form
    275,754.63/413,632.28 = 86,216.00/x
  3. Step 3: Cross multiply
    275,754.63x = 413,632.28 × 86,216.00
  4. Step 4: Simplify right side
    275,754.63x = 35,661,718,153.24
  5. Step 5: Solve for x
    x = 35,661,718,153.24/275,754.63
  6. Step 6: Final answer
    x = 129,324.10

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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.