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Finding the Fourth Proportional to 181,225.10, 271,874.10 and 151,846.40

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Solution

The fourth proportional to 181,225.10, 271,874.10 and 151,846.40 is: 227,800.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,225.10 : 271,874.10 = 151,846.40 : x
  2. Step 2: Convert to fraction form
    181,225.10/271,874.10 = 151,846.40/x
  3. Step 3: Cross multiply
    181,225.10x = 271,874.10 × 151,846.40
  4. Step 4: Simplify right side
    181,225.10x = 41,283,103,338.24
  5. Step 5: Solve for x
    x = 41,283,103,338.24/181,225.10
  6. Step 6: Final answer
    x = 227,800.14

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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.