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Finding the Fourth Proportional to 303,816.26, 455,822.80 and 146,057.01

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Solution

The fourth proportional to 303,816.26, 455,822.80 and 146,057.01 is: 219,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,816.26 : 455,822.80 = 146,057.01 : x
  2. Step 2: Convert to fraction form
    303,816.26/455,822.80 = 146,057.01/x
  3. Step 3: Cross multiply
    303,816.26x = 455,822.80 × 146,057.01
  4. Step 4: Simplify right side
    303,816.26x = 66,576,114,892.69
  5. Step 5: Solve for x
    x = 66,576,114,892.69/303,816.26
  6. Step 6: Final answer
    x = 219,132.83

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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.