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Finding the Fourth Proportional to 241,457.72, 361,964.84 and 83,575.76

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Solution

The fourth proportional to 241,457.72, 361,964.84 and 83,575.76 is: 125,286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,457.72 : 361,964.84 = 83,575.76 : x
  2. Step 2: Convert to fraction form
    241,457.72/361,964.84 = 83,575.76/x
  3. Step 3: Cross multiply
    241,457.72x = 361,964.84 × 83,575.76
  4. Step 4: Simplify right side
    241,457.72x = 30,251,486,596.28
  5. Step 5: Solve for x
    x = 30,251,486,596.28/241,457.72
  6. Step 6: Final answer
    x = 125,286.89

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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.