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Finding the Fourth Proportional to 204,510.92, 306,797.34 and 64,256.36

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Solution

The fourth proportional to 204,510.92, 306,797.34 and 64,256.36 is: 96,394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,510.92 : 306,797.34 = 64,256.36 : x
  2. Step 2: Convert to fraction form
    204,510.92/306,797.34 = 64,256.36/x
  3. Step 3: Cross multiply
    204,510.92x = 306,797.34 × 64,256.36
  4. Step 4: Simplify right side
    204,510.92x = 19,713,680,326.08
  5. Step 5: Solve for x
    x = 19,713,680,326.08/204,510.92
  6. Step 6: Final answer
    x = 96,394.27

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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.