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Finding the Fourth Proportional to 202,268.70, 303,731.10 and 146,500.20

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Solution

The fourth proportional to 202,268.70, 303,731.10 and 146,500.20 is: 219,987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,268.70 : 303,731.10 = 146,500.20 : x
  2. Step 2: Convert to fraction form
    202,268.70/303,731.10 = 146,500.20/x
  3. Step 3: Cross multiply
    202,268.70x = 303,731.10 × 146,500.20
  4. Step 4: Simplify right side
    202,268.70x = 44,496,666,896.22
  5. Step 5: Solve for x
    x = 44,496,666,896.22/202,268.70
  6. Step 6: Final answer
    x = 219,987.90

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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.