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Finding the Fourth Proportional to 273,309.40, 410,136.90 and 160,989.40

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Solution

The fourth proportional to 273,309.40, 410,136.90 and 160,989.40 is: 241,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,309.40 : 410,136.90 = 160,989.40 : x
  2. Step 2: Convert to fraction form
    273,309.40/410,136.90 = 160,989.40/x
  3. Step 3: Cross multiply
    273,309.40x = 410,136.90 × 160,989.40
  4. Step 4: Simplify right side
    273,309.40x = 66,027,693,448.86
  5. Step 5: Solve for x
    x = 66,027,693,448.86/273,309.40
  6. Step 6: Final answer
    x = 241,585.89

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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.