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Finding the Fourth Proportional to 241,003.64, 361,499.98 and 83,217.24

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Solution

The fourth proportional to 241,003.64, 361,499.98 and 83,217.24 is: 124,823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,003.64 : 361,499.98 = 83,217.24 : x
  2. Step 2: Convert to fraction form
    241,003.64/361,499.98 = 83,217.24/x
  3. Step 3: Cross multiply
    241,003.64x = 361,499.98 × 83,217.24
  4. Step 4: Simplify right side
    241,003.64x = 30,083,030,595.66
  5. Step 5: Solve for x
    x = 30,083,030,595.66/241,003.64
  6. Step 6: Final answer
    x = 124,823.97

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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.