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Finding the Fourth Proportional to 202,311.55, 303,424.80 and 102,377.80

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Solution

The fourth proportional to 202,311.55, 303,424.80 and 102,377.80 is: 153,545.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,311.55 : 303,424.80 = 102,377.80 : x
  2. Step 2: Convert to fraction form
    202,311.55/303,424.80 = 102,377.80/x
  3. Step 3: Cross multiply
    202,311.55x = 303,424.80 × 102,377.80
  4. Step 4: Simplify right side
    202,311.55x = 31,063,963,489.44
  5. Step 5: Solve for x
    x = 31,063,963,489.44/202,311.55
  6. Step 6: Final answer
    x = 153,545.18

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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.