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Finding the Fourth Proportional to 202,274.70, 303,740.10 and 146,506.20

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Solution

The fourth proportional to 202,274.70, 303,740.10 and 146,506.20 is: 219,996.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,274.70 : 303,740.10 = 146,506.20 : x
  2. Step 2: Convert to fraction form
    202,274.70/303,740.10 = 146,506.20/x
  3. Step 3: Cross multiply
    202,274.70x = 303,740.10 × 146,506.20
  4. Step 4: Simplify right side
    202,274.70x = 44,499,807,838.62
  5. Step 5: Solve for x
    x = 44,499,807,838.62/202,274.70
  6. Step 6: Final answer
    x = 219,996.90

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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.