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Finding the Fourth Proportional to 241,057.10, 361,364.22 and 128,814.80

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Solution

The fourth proportional to 241,057.10, 361,364.22 and 128,814.80 is: 193,103.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,057.10 : 361,364.22 = 128,814.80 : x
  2. Step 2: Convert to fraction form
    241,057.10/361,364.22 = 128,814.80/x
  3. Step 3: Cross multiply
    241,057.10x = 361,364.22 × 128,814.80
  4. Step 4: Simplify right side
    241,057.10x = 46,549,057,919.63
  5. Step 5: Solve for x
    x = 46,549,057,919.63/241,057.10
  6. Step 6: Final answer
    x = 193,103.87

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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.