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Finding the Fourth Proportional to 273,145.99, 409,837.20 and 146,638.64

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Solution

The fourth proportional to 273,145.99, 409,837.20 and 146,638.64 is: 220,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,145.99 : 409,837.20 = 146,638.64 : x
  2. Step 2: Convert to fraction form
    273,145.99/409,837.20 = 146,638.64/x
  3. Step 3: Cross multiply
    273,145.99x = 409,837.20 × 146,638.64
  4. Step 4: Simplify right side
    273,145.99x = 60,097,969,629.41
  5. Step 5: Solve for x
    x = 60,097,969,629.41/273,145.99
  6. Step 6: Final answer
    x = 220,021.42

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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.