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Finding the Fourth Proportional to 241,249.77, 361,998.16 and 106,407.86

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Solution

The fourth proportional to 241,249.77, 361,998.16 and 106,407.86 is: 159,666.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,249.77 : 361,998.16 = 106,407.86 : x
  2. Step 2: Convert to fraction form
    241,249.77/361,998.16 = 106,407.86/x
  3. Step 3: Cross multiply
    241,249.77x = 361,998.16 × 106,407.86
  4. Step 4: Simplify right side
    241,249.77x = 38,519,447,453.53
  5. Step 5: Solve for x
    x = 38,519,447,453.53/241,249.77
  6. Step 6: Final answer
    x = 159,666.26

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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.