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Finding the Fourth Proportional to 204,538.30, 306,824.73 and 64,337.02

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Solution

The fourth proportional to 204,538.30, 306,824.73 and 64,337.02 is: 96,510.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,538.30 : 306,824.73 = 64,337.02 : x
  2. Step 2: Convert to fraction form
    204,538.30/306,824.73 = 64,337.02/x
  3. Step 3: Cross multiply
    204,538.30x = 306,824.73 × 64,337.02
  4. Step 4: Simplify right side
    204,538.30x = 19,740,188,790.50
  5. Step 5: Solve for x
    x = 19,740,188,790.50/204,538.30
  6. Step 6: Final answer
    x = 96,510.97

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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.