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Finding the Fourth Proportional to 202,496.30, 303,744.45 and 136,141.10

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Solution

The fourth proportional to 202,496.30, 303,744.45 and 136,141.10 is: 204,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,496.30 : 303,744.45 = 136,141.10 : x
  2. Step 2: Convert to fraction form
    202,496.30/303,744.45 = 136,141.10/x
  3. Step 3: Cross multiply
    202,496.30x = 303,744.45 × 136,141.10
  4. Step 4: Simplify right side
    202,496.30x = 41,352,103,541.90
  5. Step 5: Solve for x
    x = 41,352,103,541.90/202,496.30
  6. Step 6: Final answer
    x = 204,211.65

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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.