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Finding the Fourth Proportional to 255,333.46, 383,025.57 and 97,694.50

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Solution

The fourth proportional to 255,333.46, 383,025.57 and 97,694.50 is: 146,551.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,333.46 : 383,025.57 = 97,694.50 : x
  2. Step 2: Convert to fraction form
    255,333.46/383,025.57 = 97,694.50/x
  3. Step 3: Cross multiply
    255,333.46x = 383,025.57 × 97,694.50
  4. Step 4: Simplify right side
    255,333.46x = 37,419,491,548.37
  5. Step 5: Solve for x
    x = 37,419,491,548.37/255,333.46
  6. Step 6: Final answer
    x = 146,551.46

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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.