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Finding the Fourth Proportional to 146,055, 219,082.98 and 35,247

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Solution

The fourth proportional to 146,055, 219,082.98 and 35,247 is: 52,870.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,055 : 219,082.98 = 35,247 : x
  2. Step 2: Convert to fraction form
    146,055/219,082.98 = 35,247/x
  3. Step 3: Cross multiply
    146,055x = 219,082.98 × 35,247
  4. Step 4: Simplify right side
    146,055x = 7,722,017,796.06
  5. Step 5: Solve for x
    x = 7,722,017,796.06/146,055
  6. Step 6: Final answer
    x = 52,870.62

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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.