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Finding the Fourth Proportional to 181,326, 271,998.72 and 56,676.72

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Solution

The fourth proportional to 181,326, 271,998.72 and 56,676.72 is: 85,018.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,326 : 271,998.72 = 56,676.72 : x
  2. Step 2: Convert to fraction form
    181,326/271,998.72 = 56,676.72/x
  3. Step 3: Cross multiply
    181,326x = 271,998.72 × 56,676.72
  4. Step 4: Simplify right side
    181,326x = 15,415,995,293.80
  5. Step 5: Solve for x
    x = 15,415,995,293.80/181,326
  6. Step 6: Final answer
    x = 85,018.12

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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.