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Finding the Fourth Proportional to 181,224.99, 271,782 and 86,405.18

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Solution

The fourth proportional to 181,224.99, 271,782 and 86,405.18 is: 129,581.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,224.99 : 271,782 = 86,405.18 : x
  2. Step 2: Convert to fraction form
    181,224.99/271,782 = 86,405.18/x
  3. Step 3: Cross multiply
    181,224.99x = 271,782 × 86,405.18
  4. Step 4: Simplify right side
    181,224.99x = 23,483,371,271.85
  5. Step 5: Solve for x
    x = 23,483,371,271.85/181,224.99
  6. Step 6: Final answer
    x = 129,581.31

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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.