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Finding the Fourth Proportional to 254,412.45, 381,701.61 and 127,987.45

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Solution

The fourth proportional to 254,412.45, 381,701.61 and 127,987.45 is: 192,022.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,412.45 : 381,701.61 = 127,987.45 : x
  2. Step 2: Convert to fraction form
    254,412.45/381,701.61 = 127,987.45/x
  3. Step 3: Cross multiply
    254,412.45x = 381,701.61 × 127,987.45
  4. Step 4: Simplify right side
    254,412.45x = 48,853,014,770.54
  5. Step 5: Solve for x
    x = 48,853,014,770.54/254,412.45
  6. Step 6: Final answer
    x = 192,022.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.