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Finding the Fourth Proportional to 300,975.92, 415,203.66 and 180,092.87

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Solution

The fourth proportional to 300,975.92, 415,203.66 and 180,092.87 is: 248,442.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,975.92 : 415,203.66 = 180,092.87 : x
  2. Step 2: Convert to fraction form
    300,975.92/415,203.66 = 180,092.87/x
  3. Step 3: Cross multiply
    300,975.92x = 415,203.66 × 180,092.87
  4. Step 4: Simplify right side
    300,975.92x = 74,775,216,687.89
  5. Step 5: Solve for x
    x = 74,775,216,687.89/300,975.92
  6. Step 6: Final answer
    x = 248,442.53

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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.