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Finding the Fourth Proportional to 199,692.60, 275,553.12 and 114,837

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Solution

The fourth proportional to 199,692.60, 275,553.12 and 114,837 is: 158,462.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,692.60 : 275,553.12 = 114,837 : x
  2. Step 2: Convert to fraction form
    199,692.60/275,553.12 = 114,837/x
  3. Step 3: Cross multiply
    199,692.60x = 275,553.12 × 114,837
  4. Step 4: Simplify right side
    199,692.60x = 31,643,693,641.44
  5. Step 5: Solve for x
    x = 31,643,693,641.44/199,692.60
  6. Step 6: Final answer
    x = 158,462.02

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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.