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Finding the Fourth Proportional to 218,324.70, 327,383.32 and 76,152.70

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Solution

The fourth proportional to 218,324.70, 327,383.32 and 76,152.70 is: 114,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,324.70 : 327,383.32 = 76,152.70 : x
  2. Step 2: Convert to fraction form
    218,324.70/327,383.32 = 76,152.70/x
  3. Step 3: Cross multiply
    218,324.70x = 327,383.32 × 76,152.70
  4. Step 4: Simplify right side
    218,324.70x = 24,931,123,752.96
  5. Step 5: Solve for x
    x = 24,931,123,752.96/218,324.70
  6. Step 6: Final answer
    x = 114,192.87

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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.