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Finding the Fourth Proportional to 470,141.80, 705,198.88 and 133,181.80

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Solution

The fourth proportional to 470,141.80, 705,198.88 and 133,181.80 is: 199,768.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,141.80 : 705,198.88 = 133,181.80 : x
  2. Step 2: Convert to fraction form
    470,141.80/705,198.88 = 133,181.80/x
  3. Step 3: Cross multiply
    470,141.80x = 705,198.88 × 133,181.80
  4. Step 4: Simplify right side
    470,141.80x = 93,919,656,196.38
  5. Step 5: Solve for x
    x = 93,919,656,196.38/470,141.80
  6. Step 6: Final answer
    x = 199,768.79

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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.