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Finding the Fourth Proportional to 295,181.70, 442,725.03 and 84,771.78

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Solution

The fourth proportional to 295,181.70, 442,725.03 and 84,771.78 is: 127,144.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,181.70 : 442,725.03 = 84,771.78 : x
  2. Step 2: Convert to fraction form
    295,181.70/442,725.03 = 84,771.78/x
  3. Step 3: Cross multiply
    295,181.70x = 442,725.03 × 84,771.78
  4. Step 4: Simplify right side
    295,181.70x = 37,530,588,843.65
  5. Step 5: Solve for x
    x = 37,530,588,843.65/295,181.70
  6. Step 6: Final answer
    x = 127,144.02

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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.