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Finding the Fourth Proportional to 202,276.70, 303,743.10 and 146,508.20

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Solution

The fourth proportional to 202,276.70, 303,743.10 and 146,508.20 is: 219,999.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,276.70 : 303,743.10 = 146,508.20 : x
  2. Step 2: Convert to fraction form
    202,276.70/303,743.10 = 146,508.20/x
  3. Step 3: Cross multiply
    202,276.70x = 303,743.10 × 146,508.20
  4. Step 4: Simplify right side
    202,276.70x = 44,500,854,843.42
  5. Step 5: Solve for x
    x = 44,500,854,843.42/202,276.70
  6. Step 6: Final answer
    x = 219,999.91

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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.