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Finding the Fourth Proportional to 202,806.20, 304,209.30 and 171,702.20

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Solution

The fourth proportional to 202,806.20, 304,209.30 and 171,702.20 is: 257,553.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,806.20 : 304,209.30 = 171,702.20 : x
  2. Step 2: Convert to fraction form
    202,806.20/304,209.30 = 171,702.20/x
  3. Step 3: Cross multiply
    202,806.20x = 304,209.30 × 171,702.20
  4. Step 4: Simplify right side
    202,806.20x = 52,233,406,070.46
  5. Step 5: Solve for x
    x = 52,233,406,070.46/202,806.20
  6. Step 6: Final answer
    x = 257,553.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.