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Finding the Fourth Proportional to 339,147.72, 468,029.70 and 186,200.10

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Solution

The fourth proportional to 339,147.72, 468,029.70 and 186,200.10 is: 256,959.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,147.72 : 468,029.70 = 186,200.10 : x
  2. Step 2: Convert to fraction form
    339,147.72/468,029.70 = 186,200.10/x
  3. Step 3: Cross multiply
    339,147.72x = 468,029.70 × 186,200.10
  4. Step 4: Simplify right side
    339,147.72x = 87,147,176,942.97
  5. Step 5: Solve for x
    x = 87,147,176,942.97/339,147.72
  6. Step 6: Final answer
    x = 256,959.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.