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Finding the Fourth Proportional to 256,684.85, 354,082.89 and 149,243.01

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Solution

The fourth proportional to 256,684.85, 354,082.89 and 149,243.01 is: 205,872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,684.85 : 354,082.89 = 149,243.01 : x
  2. Step 2: Convert to fraction form
    256,684.85/354,082.89 = 149,243.01/x
  3. Step 3: Cross multiply
    256,684.85x = 354,082.89 × 149,243.01
  4. Step 4: Simplify right side
    256,684.85x = 52,844,395,524.95
  5. Step 5: Solve for x
    x = 52,844,395,524.95/256,684.85
  6. Step 6: Final answer
    x = 205,872.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.