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Finding the Fourth Proportional to 256,013.26, 383,986.16 and 76,094.84

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Solution

The fourth proportional to 256,013.26, 383,986.16 and 76,094.84 is: 114,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,013.26 : 383,986.16 = 76,094.84 : x
  2. Step 2: Convert to fraction form
    256,013.26/383,986.16 = 76,094.84/x
  3. Step 3: Cross multiply
    256,013.26x = 383,986.16 × 76,094.84
  4. Step 4: Simplify right side
    256,013.26x = 29,219,366,557.62
  5. Step 5: Solve for x
    x = 29,219,366,557.62/256,013.26
  6. Step 6: Final answer
    x = 114,132.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.