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Finding the Fourth Proportional to 202,270.70, 303,734.10 and 146,502.20

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Solution

The fourth proportional to 202,270.70, 303,734.10 and 146,502.20 is: 219,990.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,270.70 : 303,734.10 = 146,502.20 : x
  2. Step 2: Convert to fraction form
    202,270.70/303,734.10 = 146,502.20/x
  3. Step 3: Cross multiply
    202,270.70x = 303,734.10 × 146,502.20
  4. Step 4: Simplify right side
    202,270.70x = 44,497,713,865.02
  5. Step 5: Solve for x
    x = 44,497,713,865.02/202,270.70
  6. Step 6: Final answer
    x = 219,990.90

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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.