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Finding the Fourth Proportional to 305,047.99, 457,697.31 and 134,181.73

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Solution

The fourth proportional to 305,047.99, 457,697.31 and 134,181.73 is: 201,327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,047.99 : 457,697.31 = 134,181.73 : x
  2. Step 2: Convert to fraction form
    305,047.99/457,697.31 = 134,181.73/x
  3. Step 3: Cross multiply
    305,047.99x = 457,697.31 × 134,181.73
  4. Step 4: Simplify right side
    305,047.99x = 61,414,616,872.15
  5. Step 5: Solve for x
    x = 61,414,616,872.15/305,047.99
  6. Step 6: Final answer
    x = 201,327.72

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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.