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Finding the Fourth Proportional to 256,101.53, 383,829.31 and 129,773.57

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Solution

The fourth proportional to 256,101.53, 383,829.31 and 129,773.57 is: 194,496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,101.53 : 383,829.31 = 129,773.57 : x
  2. Step 2: Convert to fraction form
    256,101.53/383,829.31 = 129,773.57/x
  3. Step 3: Cross multiply
    256,101.53x = 383,829.31 × 129,773.57
  4. Step 4: Simplify right side
    256,101.53x = 49,810,900,464.48
  5. Step 5: Solve for x
    x = 49,810,900,464.48/256,101.53
  6. Step 6: Final answer
    x = 194,496.70

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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.