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Finding the Fourth Proportional to 181,201.68, 271,696.68 and 54,804.24

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Solution

The fourth proportional to 181,201.68, 271,696.68 and 54,804.24 is: 82,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,201.68 : 271,696.68 = 54,804.24 : x
  2. Step 2: Convert to fraction form
    181,201.68/271,696.68 = 54,804.24/x
  3. Step 3: Cross multiply
    181,201.68x = 271,696.68 × 54,804.24
  4. Step 4: Simplify right side
    181,201.68x = 14,890,130,057.92
  5. Step 5: Solve for x
    x = 14,890,130,057.92/181,201.68
  6. Step 6: Final answer
    x = 82,174.35

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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.