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Finding the Fourth Proportional to 204,296.94, 306,445.41 and 64,066.50

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Solution

The fourth proportional to 204,296.94, 306,445.41 and 64,066.50 is: 96,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,296.94 : 306,445.41 = 64,066.50 : x
  2. Step 2: Convert to fraction form
    204,296.94/306,445.41 = 64,066.50/x
  3. Step 3: Cross multiply
    204,296.94x = 306,445.41 × 64,066.50
  4. Step 4: Simplify right side
    204,296.94x = 19,632,884,859.77
  5. Step 5: Solve for x
    x = 19,632,884,859.77/204,296.94
  6. Step 6: Final answer
    x = 96,099.75

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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.