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Finding the Fourth Proportional to 115,992.86, 174,006.57 and 53,669.66

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Solution

The fourth proportional to 115,992.86, 174,006.57 and 53,669.66 is: 80,512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,992.86 : 174,006.57 = 53,669.66 : x
  2. Step 2: Convert to fraction form
    115,992.86/174,006.57 = 53,669.66/x
  3. Step 3: Cross multiply
    115,992.86x = 174,006.57 × 53,669.66
  4. Step 4: Simplify right side
    115,992.86x = 9,338,873,449.67
  5. Step 5: Solve for x
    x = 9,338,873,449.67/115,992.86
  6. Step 6: Final answer
    x = 80,512.49

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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.