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Finding the Fourth Proportional to 256,130.44, 383,244.14 and 160,914.85

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Solution

The fourth proportional to 256,130.44, 383,244.14 and 160,914.85 is: 240,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,130.44 : 383,244.14 = 160,914.85 : x
  2. Step 2: Convert to fraction form
    256,130.44/383,244.14 = 160,914.85/x
  3. Step 3: Cross multiply
    256,130.44x = 383,244.14 × 160,914.85
  4. Step 4: Simplify right side
    256,130.44x = 61,669,672,496.90
  5. Step 5: Solve for x
    x = 61,669,672,496.90/256,130.44
  6. Step 6: Final answer
    x = 240,774.48

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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.