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Finding the Fourth Proportional to 273,144.99, 409,835.70 and 146,637.64

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Solution

The fourth proportional to 273,144.99, 409,835.70 and 146,637.64 is: 220,019.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,144.99 : 409,835.70 = 146,637.64 : x
  2. Step 2: Convert to fraction form
    273,144.99/409,835.70 = 146,637.64/x
  3. Step 3: Cross multiply
    273,144.99x = 409,835.70 × 146,637.64
  4. Step 4: Simplify right side
    273,144.99x = 60,097,340,348.04
  5. Step 5: Solve for x
    x = 60,097,340,348.04/273,144.99
  6. Step 6: Final answer
    x = 220,019.92

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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.