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Finding the Fourth Proportional to 181,006, 271,516.32 and 86,187.40

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Solution

The fourth proportional to 181,006, 271,516.32 and 86,187.40 is: 129,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,006 : 271,516.32 = 86,187.40 : x
  2. Step 2: Convert to fraction form
    181,006/271,516.32 = 86,187.40/x
  3. Step 3: Cross multiply
    181,006x = 271,516.32 × 86,187.40
  4. Step 4: Simplify right side
    181,006x = 23,401,285,678.37
  5. Step 5: Solve for x
    x = 23,401,285,678.37/181,006
  6. Step 6: Final answer
    x = 129,284.59

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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.