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Finding the Fourth Proportional to 117,114.86, 175,645.98 and 53,874.25

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Solution

The fourth proportional to 117,114.86, 175,645.98 and 53,874.25 is: 80,799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,114.86 : 175,645.98 = 53,874.25 : x
  2. Step 2: Convert to fraction form
    117,114.86/175,645.98 = 53,874.25/x
  3. Step 3: Cross multiply
    117,114.86x = 175,645.98 × 53,874.25
  4. Step 4: Simplify right side
    117,114.86x = 9,462,794,998.90
  5. Step 5: Solve for x
    x = 9,462,794,998.90/117,114.86
  6. Step 6: Final answer
    x = 80,799.27

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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.