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Finding the Fourth Proportional to 202,262.25, 303,579.72 and 102,493.13

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Solution

The fourth proportional to 202,262.25, 303,579.72 and 102,493.13 is: 153,834.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,262.25 : 303,579.72 = 102,493.13 : x
  2. Step 2: Convert to fraction form
    202,262.25/303,579.72 = 102,493.13/x
  3. Step 3: Cross multiply
    202,262.25x = 303,579.72 × 102,493.13
  4. Step 4: Simplify right side
    202,262.25x = 31,114,834,189.43
  5. Step 5: Solve for x
    x = 31,114,834,189.43/202,262.25
  6. Step 6: Final answer
    x = 153,834.11

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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.