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Finding the Fourth Proportional to 204,282.78, 306,424.17 and 64,052.70

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Solution

The fourth proportional to 204,282.78, 306,424.17 and 64,052.70 is: 96,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,282.78 : 306,424.17 = 64,052.70 : x
  2. Step 2: Convert to fraction form
    204,282.78/306,424.17 = 64,052.70/x
  3. Step 3: Cross multiply
    204,282.78x = 306,424.17 × 64,052.70
  4. Step 4: Simplify right side
    204,282.78x = 19,627,295,433.76
  5. Step 5: Solve for x
    x = 19,627,295,433.76/204,282.78
  6. Step 6: Final answer
    x = 96,079.05

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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.