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Finding the Fourth Proportional to 256,085.96, 383,817.90 and 181,228.12

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Solution

The fourth proportional to 256,085.96, 383,817.90 and 181,228.12 is: 271,622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,085.96 : 383,817.90 = 181,228.12 : x
  2. Step 2: Convert to fraction form
    256,085.96/383,817.90 = 181,228.12/x
  3. Step 3: Cross multiply
    256,085.96x = 383,817.90 × 181,228.12
  4. Step 4: Simplify right side
    256,085.96x = 69,558,596,439.35
  5. Step 5: Solve for x
    x = 69,558,596,439.35/256,085.96
  6. Step 6: Final answer
    x = 271,622.06

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1.5x scale

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.