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Finding the Fourth Proportional to 204,298.94, 306,448.41 and 64,068.50

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Solution

The fourth proportional to 204,298.94, 306,448.41 and 64,068.50 is: 96,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,298.94 : 306,448.41 = 64,068.50 : x
  2. Step 2: Convert to fraction form
    204,298.94/306,448.41 = 64,068.50/x
  3. Step 3: Cross multiply
    204,298.94x = 306,448.41 × 64,068.50
  4. Step 4: Simplify right side
    204,298.94x = 19,633,689,956.09
  5. Step 5: Solve for x
    x = 19,633,689,956.09/204,298.94
  6. Step 6: Final answer
    x = 96,102.75

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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.