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Finding the Fourth Proportional to 241,014.96, 361,689.36 and 83,244.72

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Solution

The fourth proportional to 241,014.96, 361,689.36 and 83,244.72 is: 124,924.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,014.96 : 361,689.36 = 83,244.72 : x
  2. Step 2: Convert to fraction form
    241,014.96/361,689.36 = 83,244.72/x
  3. Step 3: Cross multiply
    241,014.96x = 361,689.36 × 83,244.72
  4. Step 4: Simplify right side
    241,014.96x = 30,108,729,500.18
  5. Step 5: Solve for x
    x = 30,108,729,500.18/241,014.96
  6. Step 6: Final answer
    x = 124,924.73

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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.