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Finding the Fourth Proportional to 204,576.64, 306,913.26 and 64,335.28

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Solution

The fourth proportional to 204,576.64, 306,913.26 and 64,335.28 is: 96,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,576.64 : 306,913.26 = 64,335.28 : x
  2. Step 2: Convert to fraction form
    204,576.64/306,913.26 = 64,335.28/x
  3. Step 3: Cross multiply
    204,576.64x = 306,913.26 × 64,335.28
  4. Step 4: Simplify right side
    204,576.64x = 19,745,350,517.81
  5. Step 5: Solve for x
    x = 19,745,350,517.81/204,576.64
  6. Step 6: Final answer
    x = 96,518.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.