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Finding the Fourth Proportional to 181,195.82, 271,673.79 and 86,440.64

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Solution

The fourth proportional to 181,195.82, 271,673.79 and 86,440.64 is: 129,603.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,195.82 : 271,673.79 = 86,440.64 : x
  2. Step 2: Convert to fraction form
    181,195.82/271,673.79 = 86,440.64/x
  3. Step 3: Cross multiply
    181,195.82x = 271,673.79 × 86,440.64
  4. Step 4: Simplify right side
    181,195.82x = 23,483,656,278.83
  5. Step 5: Solve for x
    x = 23,483,656,278.83/181,195.82
  6. Step 6: Final answer
    x = 129,603.74

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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.