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Finding the Fourth Proportional to 241,457.74, 361,964.85 and 83,575.78

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Solution

The fourth proportional to 241,457.74, 361,964.85 and 83,575.78 is: 125,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,457.74 : 361,964.85 = 83,575.78 : x
  2. Step 2: Convert to fraction form
    241,457.74/361,964.85 = 83,575.78/x
  3. Step 3: Cross multiply
    241,457.74x = 361,964.85 × 83,575.78
  4. Step 4: Simplify right side
    241,457.74x = 30,251,494,671.33
  5. Step 5: Solve for x
    x = 30,251,494,671.33/241,457.74
  6. Step 6: Final answer
    x = 125,286.91

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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.