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Finding the Fourth Proportional to 204,416.30, 306,515.10 and 85,953.80

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Solution

The fourth proportional to 204,416.30, 306,515.10 and 85,953.80 is: 128,884.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,416.30 : 306,515.10 = 85,953.80 : x
  2. Step 2: Convert to fraction form
    204,416.30/306,515.10 = 85,953.80/x
  3. Step 3: Cross multiply
    204,416.30x = 306,515.10 × 85,953.80
  4. Step 4: Simplify right side
    204,416.30x = 26,346,137,602.38
  5. Step 5: Solve for x
    x = 26,346,137,602.38/204,416.30
  6. Step 6: Final answer
    x = 128,884.72

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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.