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Finding the Fourth Proportional to 172,898.10, 259,541.55 and 133,629.30

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Solution

The fourth proportional to 172,898.10, 259,541.55 and 133,629.30 is: 200,594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,898.10 : 259,541.55 = 133,629.30 : x
  2. Step 2: Convert to fraction form
    172,898.10/259,541.55 = 133,629.30/x
  3. Step 3: Cross multiply
    172,898.10x = 259,541.55 × 133,629.30
  4. Step 4: Simplify right side
    172,898.10x = 34,682,355,647.42
  5. Step 5: Solve for x
    x = 34,682,355,647.42/172,898.10
  6. Step 6: Final answer
    x = 200,594.20

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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.