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Finding the Fourth Proportional to 204,265.30, 306,397.95 and 171,606.10

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Solution

The fourth proportional to 204,265.30, 306,397.95 and 171,606.10 is: 257,409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,265.30 : 306,397.95 = 171,606.10 : x
  2. Step 2: Convert to fraction form
    204,265.30/306,397.95 = 171,606.10/x
  3. Step 3: Cross multiply
    204,265.30x = 306,397.95 × 171,606.10
  4. Step 4: Simplify right side
    204,265.30x = 52,579,757,247.50
  5. Step 5: Solve for x
    x = 52,579,757,247.50/204,265.30
  6. Step 6: Final answer
    x = 257,409.15

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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.