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Finding the Fourth Proportional to 202,496.10, 303,938.55 and 102,768.90

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Solution

The fourth proportional to 202,496.10, 303,938.55 and 102,768.90 is: 154,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,496.10 : 303,938.55 = 102,768.90 : x
  2. Step 2: Convert to fraction form
    202,496.10/303,938.55 = 102,768.90/x
  3. Step 3: Cross multiply
    202,496.10x = 303,938.55 × 102,768.90
  4. Step 4: Simplify right side
    202,496.10x = 31,235,430,451.10
  5. Step 5: Solve for x
    x = 31,235,430,451.10/202,496.10
  6. Step 6: Final answer
    x = 154,252.01

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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.