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Finding the Fourth Proportional to 204,978.12, 307,476.56 and 62,813.13

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Solution

The fourth proportional to 204,978.12, 307,476.56 and 62,813.13 is: 94,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,978.12 : 307,476.56 = 62,813.13 : x
  2. Step 2: Convert to fraction form
    204,978.12/307,476.56 = 62,813.13/x
  3. Step 3: Cross multiply
    204,978.12x = 307,476.56 × 62,813.13
  4. Step 4: Simplify right side
    204,978.12x = 19,313,563,283.78
  5. Step 5: Solve for x
    x = 19,313,563,283.78/204,978.12
  6. Step 6: Final answer
    x = 94,222.56

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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.