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Finding the Fourth Proportional to 254,014.29, 380,972.85 and 127,619.51

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Solution

The fourth proportional to 254,014.29, 380,972.85 and 127,619.51 is: 191,404.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,014.29 : 380,972.85 = 127,619.51 : x
  2. Step 2: Convert to fraction form
    254,014.29/380,972.85 = 127,619.51/x
  3. Step 3: Cross multiply
    254,014.29x = 380,972.85 × 127,619.51
  4. Step 4: Simplify right side
    254,014.29x = 48,619,568,440.30
  5. Step 5: Solve for x
    x = 48,619,568,440.30/254,014.29
  6. Step 6: Final answer
    x = 191,404.86

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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.