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Finding the Fourth Proportional to 181,174.70, 271,804.98 and 178,162.31

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Solution

The fourth proportional to 181,174.70, 271,804.98 and 178,162.31 is: 267,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,174.70 : 271,804.98 = 178,162.31 : x
  2. Step 2: Convert to fraction form
    181,174.70/271,804.98 = 178,162.31/x
  3. Step 3: Cross multiply
    181,174.70x = 271,804.98 × 178,162.31
  4. Step 4: Simplify right side
    181,174.70x = 48,425,403,106.30
  5. Step 5: Solve for x
    x = 48,425,403,106.30/181,174.70
  6. Step 6: Final answer
    x = 267,285.68

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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.