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Finding the Fourth Proportional to 202,369.30, 303,553.95 and 109,057.30

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Solution

The fourth proportional to 202,369.30, 303,553.95 and 109,057.30 is: 163,585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,369.30 : 303,553.95 = 109,057.30 : x
  2. Step 2: Convert to fraction form
    202,369.30/303,553.95 = 109,057.30/x
  3. Step 3: Cross multiply
    202,369.30x = 303,553.95 × 109,057.30
  4. Step 4: Simplify right side
    202,369.30x = 33,104,774,191.34
  5. Step 5: Solve for x
    x = 33,104,774,191.34/202,369.30
  6. Step 6: Final answer
    x = 163,585.95

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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.