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Finding the Fourth Proportional to 255,955.96, 383,989.97 and 78,476.82

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Solution

The fourth proportional to 255,955.96, 383,989.97 and 78,476.82 is: 117,732.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,955.96 : 383,989.97 = 78,476.82 : x
  2. Step 2: Convert to fraction form
    255,955.96/383,989.97 = 78,476.82/x
  3. Step 3: Cross multiply
    255,955.96x = 383,989.97 × 78,476.82
  4. Step 4: Simplify right side
    255,955.96x = 30,134,311,757.50
  5. Step 5: Solve for x
    x = 30,134,311,757.50/255,955.96
  6. Step 6: Final answer
    x = 117,732.41

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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.