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Finding the Fourth Proportional to 181,029.30, 271,309.68 and 101,065.20

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Solution

The fourth proportional to 181,029.30, 271,309.68 and 101,065.20 is: 151,467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,029.30 : 271,309.68 = 101,065.20 : x
  2. Step 2: Convert to fraction form
    181,029.30/271,309.68 = 101,065.20/x
  3. Step 3: Cross multiply
    181,029.30x = 271,309.68 × 101,065.20
  4. Step 4: Simplify right side
    181,029.30x = 27,419,967,071.14
  5. Step 5: Solve for x
    x = 27,419,967,071.14/181,029.30
  6. Step 6: Final answer
    x = 151,467.01

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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.