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Finding the Fourth Proportional to 204,064.30, 306,145.05 and 85,674.70

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Solution

The fourth proportional to 204,064.30, 306,145.05 and 85,674.70 is: 128,532.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,064.30 : 306,145.05 = 85,674.70 : x
  2. Step 2: Convert to fraction form
    204,064.30/306,145.05 = 85,674.70/x
  3. Step 3: Cross multiply
    204,064.30x = 306,145.05 × 85,674.70
  4. Step 4: Simplify right side
    204,064.30x = 26,228,885,315.24
  5. Step 5: Solve for x
    x = 26,228,885,315.24/204,064.30
  6. Step 6: Final answer
    x = 128,532.45

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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.