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Finding the Fourth Proportional to 254,100.31, 381,088.50 and 85,576.78

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Solution

The fourth proportional to 254,100.31, 381,088.50 and 85,576.78 is: 128,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,100.31 : 381,088.50 = 85,576.78 : x
  2. Step 2: Convert to fraction form
    254,100.31/381,088.50 = 85,576.78/x
  3. Step 3: Cross multiply
    254,100.31x = 381,088.50 × 85,576.78
  4. Step 4: Simplify right side
    254,100.31x = 32,612,326,725.03
  5. Step 5: Solve for x
    x = 32,612,326,725.03/254,100.31
  6. Step 6: Final answer
    x = 128,344.30

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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.