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Finding the Fourth Proportional to 204,182.90, 306,143.12 and 97,509.14

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Solution

The fourth proportional to 204,182.90, 306,143.12 and 97,509.14 is: 146,201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,182.90 : 306,143.12 = 97,509.14 : x
  2. Step 2: Convert to fraction form
    204,182.90/306,143.12 = 97,509.14/x
  3. Step 3: Cross multiply
    204,182.90x = 306,143.12 × 97,509.14
  4. Step 4: Simplify right side
    204,182.90x = 29,851,752,348.12
  5. Step 5: Solve for x
    x = 29,851,752,348.12/204,182.90
  6. Step 6: Final answer
    x = 146,201.04

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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.