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Finding the Fourth Proportional to 268,012.36, 402,076.86 and 81,019

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Solution

The fourth proportional to 268,012.36, 402,076.86 and 81,019 is: 121,546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,012.36 : 402,076.86 = 81,019 : x
  2. Step 2: Convert to fraction form
    268,012.36/402,076.86 = 81,019/x
  3. Step 3: Cross multiply
    268,012.36x = 402,076.86 × 81,019
  4. Step 4: Simplify right side
    268,012.36x = 32,575,865,120.34
  5. Step 5: Solve for x
    x = 32,575,865,120.34/268,012.36
  6. Step 6: Final answer
    x = 121,546.13

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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.