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Finding the Fourth Proportional to 146,082.34, 219,123.51 and 35,274.34

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Solution

The fourth proportional to 146,082.34, 219,123.51 and 35,274.34 is: 52,911.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,082.34 : 219,123.51 = 35,274.34 : x
  2. Step 2: Convert to fraction form
    146,082.34/219,123.51 = 35,274.34/x
  3. Step 3: Cross multiply
    146,082.34x = 219,123.51 × 35,274.34
  4. Step 4: Simplify right side
    146,082.34x = 7,729,437,193.73
  5. Step 5: Solve for x
    x = 7,729,437,193.73/146,082.34
  6. Step 6: Final answer
    x = 52,911.51

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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.