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Finding the Fourth Proportional to 303,989.33, 456,082.41 and 146,197.28

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Solution

The fourth proportional to 303,989.33, 456,082.41 and 146,197.28 is: 219,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,989.33 : 456,082.41 = 146,197.28 : x
  2. Step 2: Convert to fraction form
    303,989.33/456,082.41 = 146,197.28/x
  3. Step 3: Cross multiply
    303,989.33x = 456,082.41 × 146,197.28
  4. Step 4: Simplify right side
    303,989.33x = 66,678,007,797.84
  5. Step 5: Solve for x
    x = 66,678,007,797.84/303,989.33
  6. Step 6: Final answer
    x = 219,343.25

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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.