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Finding the Fourth Proportional to 199,498.86, 275,313.87 and 118,933.02

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Solution

The fourth proportional to 199,498.86, 275,313.87 and 118,933.02 is: 164,130.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,498.86 : 275,313.87 = 118,933.02 : x
  2. Step 2: Convert to fraction form
    199,498.86/275,313.87 = 118,933.02/x
  3. Step 3: Cross multiply
    199,498.86x = 275,313.87 × 118,933.02
  4. Step 4: Simplify right side
    199,498.86x = 32,743,910,006.99
  5. Step 5: Solve for x
    x = 32,743,910,006.99/199,498.86
  6. Step 6: Final answer
    x = 164,130.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.