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Finding the Fourth Proportional to 204,863.84, 307,284.80 and 62,709.18

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Solution

The fourth proportional to 204,863.84, 307,284.80 and 62,709.18 is: 94,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,863.84 : 307,284.80 = 62,709.18 : x
  2. Step 2: Convert to fraction form
    204,863.84/307,284.80 = 62,709.18/x
  3. Step 3: Cross multiply
    204,863.84x = 307,284.80 × 62,709.18
  4. Step 4: Simplify right side
    204,863.84x = 19,269,577,834.46
  5. Step 5: Solve for x
    x = 19,269,577,834.46/204,863.84
  6. Step 6: Final answer
    x = 94,060.42

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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.