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Finding the Fourth Proportional to 202,378.10, 303,640.05 and 195,088.10

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Solution

The fourth proportional to 202,378.10, 303,640.05 and 195,088.10 is: 292,702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,378.10 : 303,640.05 = 195,088.10 : x
  2. Step 2: Convert to fraction form
    202,378.10/303,640.05 = 195,088.10/x
  3. Step 3: Cross multiply
    202,378.10x = 303,640.05 × 195,088.10
  4. Step 4: Simplify right side
    202,378.10x = 59,236,560,438.41
  5. Step 5: Solve for x
    x = 59,236,560,438.41/202,378.10
  6. Step 6: Final answer
    x = 292,702.42

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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.