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Finding the Fourth Proportional to 100,553.97, 150,894.54 and 56,209.85

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Solution

The fourth proportional to 100,553.97, 150,894.54 and 56,209.85 is: 84,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,553.97 : 150,894.54 = 56,209.85 : x
  2. Step 2: Convert to fraction form
    100,553.97/150,894.54 = 56,209.85/x
  3. Step 3: Cross multiply
    100,553.97x = 150,894.54 × 56,209.85
  4. Step 4: Simplify right side
    100,553.97x = 8,481,759,459.22
  5. Step 5: Solve for x
    x = 8,481,759,459.22/100,553.97
  6. Step 6: Final answer
    x = 84,350.32

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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.