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Finding the Fourth Proportional to 193,842.96, 290,690.64 and 127,265.28

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Solution

The fourth proportional to 193,842.96, 290,690.64 and 127,265.28 is: 190,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,842.96 : 290,690.64 = 127,265.28 : x
  2. Step 2: Convert to fraction form
    193,842.96/290,690.64 = 127,265.28/x
  3. Step 3: Cross multiply
    193,842.96x = 290,690.64 × 127,265.28
  4. Step 4: Simplify right side
    193,842.96x = 36,994,825,692.98
  5. Step 5: Solve for x
    x = 36,994,825,692.98/193,842.96
  6. Step 6: Final answer
    x = 190,849.47

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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.