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Finding the Fourth Proportional to 241,262.88, 361,919.16 and 83,491.08

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Solution

The fourth proportional to 241,262.88, 361,919.16 and 83,491.08 is: 125,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,262.88 : 361,919.16 = 83,491.08 : x
  2. Step 2: Convert to fraction form
    241,262.88/361,919.16 = 83,491.08/x
  3. Step 3: Cross multiply
    241,262.88x = 361,919.16 × 83,491.08
  4. Step 4: Simplify right side
    241,262.88x = 30,217,021,541.09
  5. Step 5: Solve for x
    x = 30,217,021,541.09/241,262.88
  6. Step 6: Final answer
    x = 125,245.22

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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.