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Finding the Fourth Proportional to 199,533, 275,355.90 and 110,109

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Solution

The fourth proportional to 199,533, 275,355.90 and 110,109 is: 151,950.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,533 : 275,355.90 = 110,109 : x
  2. Step 2: Convert to fraction form
    199,533/275,355.90 = 110,109/x
  3. Step 3: Cross multiply
    199,533x = 275,355.90 × 110,109
  4. Step 4: Simplify right side
    199,533x = 30,319,162,793.10
  5. Step 5: Solve for x
    x = 30,319,162,793.10/199,533
  6. Step 6: Final answer
    x = 151,950.62

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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.